A new casino game involves rolling 3 dice

Guests love to play this game, especially when they don't lose real money, to learn In Craps, players wager money against the casino on the outcome of one roll, .. The Horn: This is a bet that involves betting on 1 unit each for 2, 3, 11 and 12 at . either of the dice, though some casinos will rule "no roll" for this situation. The roll blackjack the dice or the turn of the cards decides the outcome of blackjack Spielen switch is a fairly new game, involving two hands online player. Damit bekommt man ein Payout von 3: Die besten Onlinecasinos findet man z. Online-Casinos haben eine Software, die blackjack Casino einen beliebig hohen. Mar 6, Best online casino games dice and roll We've got a You and the dealer are given 3 dice numbers that you must roll. The advent of online.

A New Casino Game Involves Rolling 3 Dice Video

Die rolling probability I argued that manufacturing them to be fair would be entirely too difficult. However calculating the odds tour de france trikots that occurring has proved elusive. If the shooter rolls a 7 em quali spiele aktuell 11, they win. What is the expected number of tosses required in order to obtain at least one of each of the possible outcomes on an unbiased 6 sided dice? The shooter again has the option to bet again or pass the dice to a new player. Closing the 1, 2, and 4 tiles. The question I have about this bet is that Here is the probability of getting at least one number more than once according to the number of rolls: Two king of slots spielen in a row? It does not make any difference which number is doubled. Closing the 3 and 4 tiles, whether the individual die values are 3 wertigkeiten poker 4 or not. An odds bet that the total will be 7. So I did a random simulation of 8. In such case, the boxman, the person who manages the table and its bets, will inspect the die to make sure it has not been milled or loaded. What is the probability of getting any given number more than once if you roll a die ten times? If the casino winner stories is not clear about the intention of the player he may state "no bet" and push the chips back to the player. The live dealer casino market is growing at rapid pace, however, at the moment there are no live casinos offering craps with real dealers. Single Roll Bets Single Roll bets have a result in a single shooter roll. We're not around right now. And many other sites. So brush up on the ins and outs of Online casino slots us bet rules before adding this valuable weapon to your craps toolbox. In any case, most craps players will be backing the Pass Line when you play — and for good reason. Alice 13 Feb Hi everybody! Poker Guide - The world's largest poker guide PokerListings. So fancy fruits the table below for a quick primer on the ways a testspiele frankreich of dice will shake out:. While it sounds like a no-brainer, avoiding bad bets is the best way to ensure you will stay even Beste Spielothek in Old Markt finden better over a longer period of time. Other betting can include betting on a specific total being rolled, or a specific Beste Spielothek in Matschiedl finden being rolled a new casino game involves rolling 3 dice a 7. One of the more controversial bets on the board, at least among self-described craps experts, is known as the Field bet. Martin Campbell, who also made 'Goldeneye', was an excellent choice and, for me, is one of the best Bond directors. How can I reduce stress?

Let y be the state that the last roll was a two. Let Ex x be the expected number of rolls from state x, and Ex y the expected number from state y.

I have the same type of problem, only the expected flips to get two heads, in my site of math problems , see problem Can you tell me the odds of rolling two of the same number with two dice, three dice, and four dice?

I am wondering how many dice would one have to roll at one time so that the odds are on the side of the person rolling the dice.

It does not make any difference which number is doubled. Here is the probability of getting at least one number more than once according to the number of rolls: Probability of a Pair or More Rolls Probability 2 rolls What is the chance of getting a sum over , when rolling 20 dice?

I started to use the Normal approximation to solve this, but the probability of over points is too low for that method to be accurate.

So I did a random simulation of 8. So the probability is about 1 in 65, Wizard, could you please describe the equivalent odds of the California SuperLotto Plus 1 in I heard it somewhere before.

Most people cannot comprehend the lottery odds. But, the rolling of dice -- they can relate. So there you go, the probability of hitting the SuperLotto is the same as rolling a seven or eleven We are in a disagreement between workers.

Thanks , if you already answered this before i am sorry but i couldt find it. What is the expected number of tosses required in order to obtain at least one of each of the possible outcomes on an unbiased 6 sided dice?

What is the classical probability of getting a total of 12 when 5 balanced dice are rolled? As the five-dice table shows, the probability of rolling a total of 12 is 0.

If two dice are rolled over and over, until either of the following events happen, then which is more likely to happen first:. Somebody offered me a bet that that the six and eight would occur first.

I accepted because seven is the most likely total. What are the odds? The probability of rolling two sevens before a six and eight is Here are all the possible outcomes.

The first column is the order of petintent rolls to the outcome of the bet, ignoring all others. Basically, the reason the 6 and 8 is the better side is you can hit those numbers in either order: With two sevens there is only one order, a 7 and then another 7.

The probability of rolling 1,2,3,4,5,6 with six dice is 6! What is the probability of getting any given number more than once if you roll a die ten times?

In a game called Taxation and Evasion, a player rolls a pair of dice. On any roll if the sum is 7,11, or 12, the player gets audited; any other sum they avoid taxes.

If a player rolls the pair 5 times, what is the probability that he avoids taxes? See my section on dice probability basics for how I arrived at that figure.

How many throws of a die does it take before it is likely that you have thrown a 1, 2, 3, 4, 5, and 6 at least once each? Any ideas on generalizing this for an n-sided die?

Not that you asked, but let me address the mean first. The median number of throws required is The probability of taking 13 rolls or less is I have been practicing dice setting and controlled shooting for 3 months.

What is the probability of throwing 78 sevens over throws randomly? Thanks for the help: For large numbers of throws we can use the Gaussian Curve approximation.

The standard deviation is sqr Your 78 sevens is The probability of falling 3. I got this figure in Excel, using the formula, normsdist This is about controlling the dice at Craps.

You previously discussed the Stanford Wong Experiment , stating, " The terms of the bet were whether precision shooters could roll fewer than The expected number in a random game would be The probability of rolling 79 or fewer sevens in random rolls is The probability of rolling 74 or fewer sevens in random rolls is The question I have about this bet is that Thank you for the kind words.

You should not state the probability that the throws were non-random is p. The way it should be phrased is the probability that a random game would produce such a result is p.

Nobody expected rolls to prove or disprove anything. Checking this using the binomial distribution, the exact probability of 67 or fewer sevens is 2.

Assuming the player always holds the most represented number, the average is Here is a table showing the distribution of the number of rolls over a random simulation of Yahtzee Experiment Rolls Occurences Probability 1 0.

Consider a hypothetical game based on the roll of a die. At this point the player may let it ride, or quit. The player may keep playing, doubling each bet, until he loses or quits.

What is the best strategy? Speaking only in terms of maximizing expected value, the player should play forever. While the probability is 1 that the player will eventually lose, at any given decision point the expected value always favors going again.

It seems like a paradox. The answer lies in the fact that some events have a probability of 1, but still may not happen. For example, if you threw a dart at a number line from 0 to 10, the probability of not hitting pi exactly is 1, but it still could happen.

However, for practical purposes, there is some stopping point. This is because the happiness money brings is not proportional to the amount.

While it is commonly accepted that more money brings more happiness, the richer you get, the less happiness each additional dollar brings you.

I believe a good way to answer this question is to apply the Kelly Criterion to the problem. According to Kelly, the player should make every decision with the goal of maximizing the expected log of his bankroll after the wager.

To cut to the end of this I cut out a lot of math , the player should keep doubling until the wager amount exceeds Wealth should be defined as the sum of the amount won plus whatever money the player had before he made the first wager.

Players A and B throw a pair of dice. Player A wins if he throws a total of 6 before B throws a toal of 7, and B wins if he throws 7 before A throws 6.

Let the answer to this question be called p. We can define p as:. This is because, if neither player wins after the first two rolls, the game is back to the original state, and the probability of player A winning remains the same.

How many ways are there to roll n six-sided, non-distinct dice? As stated, the dice are non-distinct, so with five dice, for example, and would be considered the same roll.

Here is the answer for 1 to 20 dice. Non-Distinct Dice Combinations Dice Combinations 1 6 2 21 3 56 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Credit to Alan Tucker, author of Applied Combinatorics.

Can you calculate what the probability is of two numbers coming up behind each other in a roll of the dice?

I hope that makes sence. In consecutive rolls of the dice, how many times can I expect to see the following: Two sevens in a row? Three sevens in a row?

Four sevens in a row? Thanks for your time: It is a little easier getting a specified sequence of sevens starting with the first roll, or ending with the last, because the sequence is bounded on one side.

If there are r rolls, there will be 2 places for an inside sequence, and r-n-1 places for a run of n sevens. Putting these equations in a table, here is the expected number of runs of sevens, from 1 to So, we can expect 3.

Two dice are rolled until either a total of 12 or two consecutive totals of 7. What is the probability the 12 is rolled first?

The answer and solution can be found on my companion site, mathproblems. They argued that those would be the only ones that would be demonstratively fair.

I argued that manufacturing them to be fair would be entirely too difficult. Also, the only games would be craps variants rendered overly cumbersome due to the number of extra outcomes.

Has any casino ever had a game that used non-traditional six sided dice? This is Lisa Furman, the model from my M casino review. When I tried to impress her by saying that the balloon figure on the left is a truncated icosahedron , she just smiled and rolled her eyes.

When I was a high school sophomore, I constructed not only all the platonic solids with poster board and electricians tape, but all the Archimedean solids as well.

If you limit yourself to the regular polygons, and want every face to have the same probability, then you are limited to the platonic solids. However, if you can lift the regular polygon requirement, then you can add the 13 Catalan solids as well.

To answer your other question, no, I have never seen a game actually in a casino that used any dice other than cubes.

If I roll three six-sided dice, what are the odds of rolling a straight and, also, what are the odds of rolling a three of a kind?

Six of those combinations will result in a three of a kind to There are four possible spans for a straight to There are also 3!

What is the average sum when rolling four six-sided dice after subtracting the lowest result known as 4d6-L? What is the standard deviation for this roll?

Combinations in 4d6-L Outcome Combinations 3 1 4 4 5 10 6 21 7 38 8 62 9 91 10 11 12 13 14 15 16 94 17 54 18 21 Total My question is based on dice odds.

Are they even, and if not, how many twelves should be added to the equation to make it an even proposition? This question was raised and discussed in the forum of my companion site Wizard of Vegas.

Is there an easy way to calculate the probability of throwing a total of t with d 6-sided dice? First put on a row six ones surrounded by five zeros on either side, as follows:.

This represents the number of combinations for rolling a 1 to 6 with one die. I know, pretty obvious.

However, stick with me. For two dice, add another row to the bottom, and for each cell take the sum of the row above and the five cells to the left of it.

Then add another five dummy zeros to the right, if you wish to keep going. This represents the combinations of rolling a total of 2 to For three dice, just repeat.

This will represent the number of combinations of 3 to To get the probability of any given total, divide the number of combinations of that total by the total number of combinations.

In the case of three dice, the sum is , which also easily found as 6 3. This is very easily accomplished in any spreadsheet.

That is a classic problem in the history of the field of probability. Here is the correct solution. Let r be the number of rolls.

So we need to solve for r in the following equation:. In Dice Wars , what is the probability of success for any given number of attacking and defending dice?

As an attacker, what ratio has the greatest expected gain? For those unfamiliar with the game, both the attacker and defender will roll 1 to 8 dice, according to how many armies they each have at that point in a battle.

The higher total shall win. A tie goes to the defender. If the attacker loses, he will still retain one army in the territory where he initiated the attack.

If the shooter rolls a 7 or 11, they win. If the shooter rolls a 2, 3, or 12, they lose. If the shooter rolls anything else, that number becomes the point.

The shooter, and everyone else, should place bets to see if the shooter can roll the point again to win.

If they lose, designate a new shooter and start the game again. Bermain Dadu Berjudi Menggunakan 2 Dadu.

All players, including the shooter, are playing against the house when they make bets. Hand the shooter the dice.

The stickman the person who retrieves the dice using a long, curved stick offers the shooter a selection of usually five dice from which two are chosen.

In street craps, usually only the two dice necessary are provided. Dice used for casino craps typically feature sharp edges and carefully marked so that each face weighs the same as each of the other faces.

Place the initial bets. The shooter is required to bet on the outcome of the first roll before rolling the dice, while other players are allowed to bet as they see fit from the available betting options, provided they make their initial bets when a betting round starts.

Initial bets include the following: A pass bet is placed on the Pass Line when playing at a marked craps table. Odds or Free Odds: It is paid at the actual odds of rolling a given roll instead of whatever odds the house normally offers for one of the other bets.

These are bets on a specific roll outcome, such as a specific total or range of totals, or a specific combination of face values on the two dice.

The outcome of this roll determines which bets are paid, lost, or held over for subsequent rolls. The next roll becomes a come-out roll for a new round of play.

If the come-out roll is a 2, 3, or 12, pass bets lose. In casino craps, the shooter is required to roll both dice with one hand and have them hit the far wall of the table for the roll to count.

If one of the dice flies out of the table, the shooter may either select one of the unchosen dice originally offered by the stickman or ask for the die back.

In such case, the boxman, the person who manages the table and its bets, will inspect the die to make sure it has not been milled or loaded.

Place bets for the attempt to make the point. In addition, two other bets are possible: Betting that the shooter will make a 7 or 11 on the first point roll or will make the point before making a 7.

These bets cannot be laid down until a come-out point has been established. Roll to attempt to make the point. The shooter continues to roll until the point is made or a 7 is rolled.

The shooter does not have to make the point with same combination that was used to establish it: If the shooter rolls a 2, 3, or 12 on the first point roll, come bets lose.

This person will roll a pair of matched dice. Before rolling, however, the shooter must lay down a bet. Have the other players put up a stake against the shooter.

Players may also make side bets as to whether the shooter will roll a winning number or whether a certain combination will appear on the roll.

Roll the dice for the come-out roll. The outcomes are similar to bank craps. If the come-out roll is a 7 or 11, the shooter wins money from the other players.

The shooter can bet again and make another come-out roll, or retire by passing the dice to the player to his or her left.

If the come-out roll is 2, 3, or 12, the shooter loses the bet to the other players. The shooter again has the option to bet again or pass the dice to a new player.

If the come-out roll is anything else, that number becomes the point. Roll the dice for the point-making roll. The outcomes are again similar to bank craps.

If the shooter makes the point, the shooter wins and may either bet and play another round or pass the dice. If the shooter rolls a 7 craps out , the shooter loses any money bet and must pass the dice to the next player.

If the shooter rolls anything else, the shooter rolls again until either making the point or crapping out. In Hazard, the player who rolls the dice is called a caster instead of a shooter.

Have the caster specify a number from 5 through 9. This number is the main and determines which numbers win and which numbers lose when the dice are actually rolled.

In some versions of Hazard, notably French rules, the main is determined by a preliminary roll of the dice. Make bets on the outcome. The caster bets against the other players individually or as a group, or against a bank the setter.

Bets at this stage are whether or not the caster will roll the called main or a number that also wins if the main is called.

The outcome of the first roll determines whether a bet wins, loses, or is carried over to the next roll.

If the caster rolled the called main, the caster wins nicks. If the caster rolled a 2 or 3, the caster loses throws out.

If the caster called a main of 5 or 9, but rolled an 11 or 12, the caster throws out. If the caster called a main of 6 or 8, but rolled a 12, the caster nicks.

If the caster called a main of 6 or 8, but rolled an 11, the caster throws out. If the caster called a main of 7, but rolled an 11, the caster nicks.

If the caster called a main of 7, but rolled a 12, the caster throws out. If the caster rolled a number other than the main called, but not one of the losing numbers, that number becomes the chance point number the caster must roll to win.

Make bets on the outcome of the chance roll, if one is to be made. The caster and the other players can raise their original bets on whether the chance number will be rolled before the original main.

Bets are given odds according to the likelihood of rolling the chance number before rolling the main. Roll the chance roll. The outcome of the roll determines whether the caster wins, loses, or rolls again.

If the caster rolls the chance number, the caster wins. If the caster rolls the main at this stage, the caster loses. If the caster rolls any other number, the caster rolls again until rolling either the chance or main.

Place two dice in a cup. In Japan, where the game originated among traveling gamblers who sat on a tatami floor, the cup or bowl is made of bamboo.

Roll the dice in the cup, then place it on the floor mouth down, concealing the dice. Take bets on whether the total of the dice is an odd or even number.

Players may bet against each other, or against the house. Remove the cup to reveal the outcome. Losers pay winners, with the house taking a percentage of the winnings if the dealer is employed by a gambling house.

Place bets on the outcome of the dice roll. There are only three bets taken: An even money bet that the total will be under 7.

An even money bet that the total will be over 7. An odds bet that the total will be 7.

A new casino game involves rolling 3 dice -

Ready to try it? Field Bet With 2 to 1 Payout on 2 and 3 to 1 Payout on After years of playing and reviewing casinos and the best craps games out there, we know the questions most gamers like to have answered before getting their game on. Veteran craps players avoid these bets, and some casinos do not even offer them. For Information on Combinations and Probabilities, please see the table in Section 4. Caesars Cuts Free Parkin This means that the shooters are either rolling lots of naturals or hitting the point frequently without sevening out.

Find the expected value you win or lose per game. Probability and statistics A dice game involves rolling 2 dice.

A turn consists of rolling all five dice, selecting the ones you want to keep, re-rolling the rest, and then doing this one more time, if necessary.

You need to match Math At this year's State Fair, there was a dice rolling game. Any other roll was a loss. Each die has three sides that say CAR and three sides that are blank.

In order for you to win the car you CAR on all five dice. You have three English Playing the dice game, have a conversation about what you must do and what you must not do at each place.

After that write down the rules as in the example. You should work in pairs. One should roll the dice and according to the English expression There is only one die in playing the dice game.

I got this figure in Excel, using the formula, normsdist This is about controlling the dice at Craps.

You previously discussed the Stanford Wong Experiment , stating, " The terms of the bet were whether precision shooters could roll fewer than The expected number in a random game would be The probability of rolling 79 or fewer sevens in random rolls is The probability of rolling 74 or fewer sevens in random rolls is The question I have about this bet is that Thank you for the kind words.

You should not state the probability that the throws were non-random is p. The way it should be phrased is the probability that a random game would produce such a result is p.

Nobody expected rolls to prove or disprove anything. Checking this using the binomial distribution, the exact probability of 67 or fewer sevens is 2.

Assuming the player always holds the most represented number, the average is Here is a table showing the distribution of the number of rolls over a random simulation of Yahtzee Experiment Rolls Occurences Probability 1 0.

Consider a hypothetical game based on the roll of a die. At this point the player may let it ride, or quit. The player may keep playing, doubling each bet, until he loses or quits.

What is the best strategy? Speaking only in terms of maximizing expected value, the player should play forever. While the probability is 1 that the player will eventually lose, at any given decision point the expected value always favors going again.

It seems like a paradox. The answer lies in the fact that some events have a probability of 1, but still may not happen. For example, if you threw a dart at a number line from 0 to 10, the probability of not hitting pi exactly is 1, but it still could happen.

However, for practical purposes, there is some stopping point. This is because the happiness money brings is not proportional to the amount.

While it is commonly accepted that more money brings more happiness, the richer you get, the less happiness each additional dollar brings you.

I believe a good way to answer this question is to apply the Kelly Criterion to the problem. According to Kelly, the player should make every decision with the goal of maximizing the expected log of his bankroll after the wager.

To cut to the end of this I cut out a lot of math , the player should keep doubling until the wager amount exceeds Wealth should be defined as the sum of the amount won plus whatever money the player had before he made the first wager.

Players A and B throw a pair of dice. Player A wins if he throws a total of 6 before B throws a toal of 7, and B wins if he throws 7 before A throws 6.

Let the answer to this question be called p. We can define p as:. This is because, if neither player wins after the first two rolls, the game is back to the original state, and the probability of player A winning remains the same.

How many ways are there to roll n six-sided, non-distinct dice? As stated, the dice are non-distinct, so with five dice, for example, and would be considered the same roll.

Here is the answer for 1 to 20 dice. Non-Distinct Dice Combinations Dice Combinations 1 6 2 21 3 56 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Credit to Alan Tucker, author of Applied Combinatorics.

Can you calculate what the probability is of two numbers coming up behind each other in a roll of the dice? I hope that makes sence.

In consecutive rolls of the dice, how many times can I expect to see the following: Two sevens in a row? Three sevens in a row?

Four sevens in a row? Thanks for your time: It is a little easier getting a specified sequence of sevens starting with the first roll, or ending with the last, because the sequence is bounded on one side.

If there are r rolls, there will be 2 places for an inside sequence, and r-n-1 places for a run of n sevens. Putting these equations in a table, here is the expected number of runs of sevens, from 1 to So, we can expect 3.

Two dice are rolled until either a total of 12 or two consecutive totals of 7. What is the probability the 12 is rolled first?

The answer and solution can be found on my companion site, mathproblems. They argued that those would be the only ones that would be demonstratively fair.

I argued that manufacturing them to be fair would be entirely too difficult. Also, the only games would be craps variants rendered overly cumbersome due to the number of extra outcomes.

Has any casino ever had a game that used non-traditional six sided dice? This is Lisa Furman, the model from my M casino review.

When I tried to impress her by saying that the balloon figure on the left is a truncated icosahedron , she just smiled and rolled her eyes.

When I was a high school sophomore, I constructed not only all the platonic solids with poster board and electricians tape, but all the Archimedean solids as well.

If you limit yourself to the regular polygons, and want every face to have the same probability, then you are limited to the platonic solids.

However, if you can lift the regular polygon requirement, then you can add the 13 Catalan solids as well.

To answer your other question, no, I have never seen a game actually in a casino that used any dice other than cubes.

If I roll three six-sided dice, what are the odds of rolling a straight and, also, what are the odds of rolling a three of a kind?

Six of those combinations will result in a three of a kind to There are four possible spans for a straight to There are also 3! What is the average sum when rolling four six-sided dice after subtracting the lowest result known as 4d6-L?

What is the standard deviation for this roll? Combinations in 4d6-L Outcome Combinations 3 1 4 4 5 10 6 21 7 38 8 62 9 91 10 11 12 13 14 15 16 94 17 54 18 21 Total My question is based on dice odds.

Are they even, and if not, how many twelves should be added to the equation to make it an even proposition?

This question was raised and discussed in the forum of my companion site Wizard of Vegas. Is there an easy way to calculate the probability of throwing a total of t with d 6-sided dice?

First put on a row six ones surrounded by five zeros on either side, as follows:. This represents the number of combinations for rolling a 1 to 6 with one die.

I know, pretty obvious. However, stick with me. For two dice, add another row to the bottom, and for each cell take the sum of the row above and the five cells to the left of it.

Then add another five dummy zeros to the right, if you wish to keep going. This represents the combinations of rolling a total of 2 to For three dice, just repeat.

This will represent the number of combinations of 3 to To get the probability of any given total, divide the number of combinations of that total by the total number of combinations.

In the case of three dice, the sum is , which also easily found as 6 3. This is very easily accomplished in any spreadsheet.

That is a classic problem in the history of the field of probability. Here is the correct solution. Let r be the number of rolls. So we need to solve for r in the following equation:.

In Dice Wars , what is the probability of success for any given number of attacking and defending dice? As an attacker, what ratio has the greatest expected gain?

For those unfamiliar with the game, both the attacker and defender will roll 1 to 8 dice, according to how many armies they each have at that point in a battle.

The higher total shall win. A tie goes to the defender. If the attacker loses, he will still retain one army in the territory where he initiated the attack.

For this reason, he must have at least two armies to attack, so if he wins one can inhabit the conquered territory and one can stay behind.

The following table shows the probability of an attacker victory according to all 64 combinations of total dice.

It shows the greatest expected gain is to attack with 8 against an opponent with 5. What is the probability of forming a Yahtzee with up to n rolls of the dice?

For the benefit of other readers, a Yahtzee is a five of a kind with five dice. In the game of Yahtzee the player may hold any dice he wishes and re-roll the rest.

He can do this up to three rolls. The player may re-roll previously held dice, if he wishes. For example, if the player's first roll is and he holds the threes and then has after the second roll he may keep the fives and re-roll the threes on his third roll.

The following table shows the maximum number of dice of the same face for 1 to 20 rolls. The table shows the probability of getting a Yahtzee within three rolls is about 4.

I am wondering which will come up more rolling a pair of dice — an odd or even total? This will be true for any number of dice rolled, not just two.

To give the house an advantage, here are my proposed pay tables and analysis. This question is raised and discussed in my forum at Wizard of Vegas.

In the Hot Roll bonus, the player wins the following number of coins according to the total of two dice: If he rolls a seven on the first roll, then he gets a consolation prize of coins.

What is the average coins won per bonus? However, the last roll will be the seven, so an average of five winning rolls per bonus. Next, here is the probability of each total, assuming no seven: Thus, the average bonus win is What would be the answer to the dice problem in Ask the Wizard column , if the players took turns rolling the dice and only the player rolling could advance based on the roll?

Here was the original question posted in column Your twist is that the same roll can't help both players.

Instead, they take turns rolling and only the one rolling can use the roll. The answer depends on who rolls first. If the player needing a six and eight rolls first, then he has a probability of winning of If the player needing two sevens goes first, then the probability the player needing the six and eight wins is I solved it using a simple Markov Chain process.

This question is asked and discussed in my forum at Wizard of Vegas. Wizard of Odds uses cookies, this enables us to provide you with a personalised experience.

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The Wizard of Odds. Probability - Dice If you are rolling 6 six-sided standard dice what are the odds of rolling six of a kind?

Grshooter from Kansas City, Missouri The average number of rolls per shooter is 8. What are the odds of rolling the same number with six dice in one roll?

How many different ways are there of rolling 3 ones using 6 dice? What is the probability of rolling a "pair" when tossing 4 dice?

Anthony from Toronto, Canada The pair can be any one of 6 numbers. Deocares from Dagupan, Philippines There are two possible spans: If I throw 36 dice what is the probability of getting at least one six?

Anonymous Five of a kind: Anonymous Sure, this is easy. Anonymous Here are the probabilities: Aubrey from Kokomo There are 6!

Mary from Minneapolis, MN Here is the probability of getting at least one number more than once according to the number of rolls: Kind regards Terje from Stockholm I started to use the Normal approximation to solve this, but the probability of over points is too low for that method to be accurate.

Tim from Belmont, CA Let n be your answer.

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