For questions on dice, a small throwable object with multiple resting positions, used for generating random numbers. This makes dice suitable as gambling devices for games like craps, or for use in non-gambling tabletop games.

learn more… | top users | synonyms

1
vote
1answer
161 views

Calculate Probability that X amount of N die are equal to Y?

Update --- I think I see my problem... in the example at Stack Exchange Question it shows 5C3 5C4 and 5C5... if I have researched this out, this means 5 combinations choose X. If so, what is that ...
0
votes
2answers
88 views

Probability of dice thrown

What is the probability of getting -atleast 1 six when 6 dice are rolled? - atleast 2 six when 12 dice are rolled? - atleast 3 six when 18 dice are rolled? "At least 1 six" is ...
0
votes
3answers
13k views

How do i calculate Dice probability

Im trying to learn how to calculate dice probability but all i can finf on the net are the odds of rolling a given number in a single roll. An example of what i am looking of is rolling a 4+ on a D6 ...
1
vote
3answers
210 views

Dice probability puzzle

What is the probability of a run of at least 3 sixes when a die is thrown 5 times? I think I have the answer but from what I have been told its not the correct answer. Would someone like to help?
3
votes
5answers
478 views

Probability of 1x six from seven dice?

Could someone help me with how the following is calculated: What is the probability of rolling a die seven times and getting at least one six? My instinct told me it would be $1/6+\cdots + 1/6$ but ...
3
votes
2answers
849 views

Probability of rolling at least one 6 while rerolling 1's

Scenario: You roll a number of 6-sided dice Success: Roll at least one 6 Conditions: You can re-roll any 1's you get on the first roll What are the odds of success for n dice? Example: 7 dice ...
3
votes
3answers
1k views

Dice probability over multiple rolls.

What is the probability of rolling one or more 6's using 3 six sided dice (1...6) that are rolled three times? How does multiple rolls influence the probability, is it simply 3 times the probability ...
3
votes
1answer
107 views

How much money should we take?

I'm a new user so if my question is inappropriate, please comment (or edit maybe). We want to define a dice game. We will be the casino and a customer will roll dice. I will assume customer is man. ...
3
votes
1answer
195 views

Expected value of getting to plus or minus twenty.

We start with our game in the box number $0$. We throw a die with: "$+1$", "$+2$", "$+3$", "$-1$", "$-2$" and "$-3$" written on its faces. After each throw we move to the right of the number of boxes ...
3
votes
1answer
761 views

Calculate probability of obtaining at least a sequence of numbers for a given number of dice rolls

I want to calculate the probability of rolling at least a sequence of values for a given set of dice. This sequence may have duplicate values. I am aware of the Binomial Probability Equation used to ...
0
votes
1answer
170 views

Exclusion and Inclusion principle in rolling a dice

A die is rolled $n$ times. The probability for getting "6" is $p$. Use exclusion inclusion principle and find what is the probability getting at least one time "6". First I expect the result to ...
3
votes
1answer
2k views

Roll 5 dice and find the probability that at least 3 dice are 4

My approach is find P that exactly 3 dice are 4 + exactly 4 dice are 4 + exactly 5 dice are 4. $(5C_3 * (1/6)^3 * (5/6)^2) + (5C_4 * (1/6)^4 * (5/6)^1) + (5C_5 * (1/6)^5)$ = 276/6^5 Is my ...
1
vote
1answer
191 views

Yahtzee Bar Game

A bar near where I work has a game where you pay $5$ dollars which gets you two chances of rolling $5$ dice and if roll results in all of the dice having the same number you win the running pot, ...
3
votes
3answers
407 views

You roll a die until the sum of all your rolls is greater than 13. What number are you most likely to land on, on the last roll?

So I was thinking of doing this recursively: $f(x,i)$ is equal to the probability of rolling greater than $x$ and landing on $i$ on the last roll. $f(0,i) = 1/6$ for $i = \{1,2,..,6\}$. $f(1,i) = 1/6 ...
3
votes
2answers
133 views

Roll dice and ignore worst results

I am at my wits' end with my very basic statistics knowledge. I roll $n$ dice with $k$ sides each (numbered $1$ thru $k$, laplace). I then add the numbers of the $m$ best dice (the higher the roll ...
3
votes
1answer
89 views

An asymmetric die game

Suppose there is a prisoner who is being held by a gambling-addicted warden. The warden offers a compromise to the prisoner - if the prisoner can win a certain game of chance, the warden will let them ...
2
votes
1answer
755 views

What are the odds of rolling 3 pairs with six dice?

Given a roll of six standard six-side dice, how do you calculate the odds of rolling 3 pairs? This should included non-unique pairs like 2,2,2,2,3,3 or even 5,5,5,5,5,5.
6
votes
2answers
2k views

Probability of consecutive dice rolls

This is probably quite a simple question but here I go.. Suppose you are going to roll a six-sided (fair) die N times, what is the probability that you will get at least one set of three consecutive ...
1
vote
2answers
79 views

Probability of rolling a $6$ between $90$ and $110$ times when rolling a die $600$ times

Show that if you roll a fair die $600$ times, then with probability at least $1/6$ you will get the roll $6$ between $90$ and $110$ times. This is what I have so far Let $E(x) = 100 \Rightarrow ...
2
votes
1answer
5k views

Probability Distribution of Rolling Multiple Dice

What is the function for the probability distrabution of rolling multiple (3+) dice. The function is a bell curve but I can't find the actual function for the situation. Example, what is the function ...
1
vote
2answers
458 views

Probability question involving colored dice

This question is really getting to me, a friend of mine has suggested a solution but I believe it is incorrect. Anyway here's the question: You throw 9 coloured dice. Every dice has 2 white ...
1
vote
1answer
118 views

Probability of rolling three dice without getting a 6 in 8 rolls

I know the propability of rolling three dice without getting a $6$ in $1$ roll is $91/216$, but what about rolling it in $8$ rolls consecutively with three dices?
18
votes
2answers
355 views

Generalized nontransitive dice

Let $X_1, \ldots, X_n$ be a collection of random variables. Consider the directed graph with vertex set $\{ 1, 2, \ldots, n \}$ where there is a directed edge $i \to j$ if $\mathbb{P}(X_i > X_j) ...
1
vote
1answer
75 views

Dice probability when a number is disallowed in the first round

In the game Settlers of Catan a player starts each turn rolling 2 six sided dice. There's a variation of the game where if a 7 is rolled in the first round of a game (a 'round' is when each player has ...
1
vote
1answer
145 views

Dice tracker and roll probability percentage

I have a dice tracker that graphs the combined roll of 2 fair six sided dice (numbers 2 through 12). I want to display the variance percentage that the current number is over/under as a ...
5
votes
1answer
158 views

Deduce dice configuration knowing 2 adjacent faces

Let's say I have a die. I know it's up face and right face. I'd like to know what's on other faces, in this configuration. I know the dice configuration: ...
4
votes
1answer
375 views

Probability of rolling $n$ successes on an open-ended/exploding dice roll

I'm trying to compute the probability of achieving a certain number of successes when rolling a die pool for both open-ended/exploding and closed tests. Success is defined as a roll above a certain ...
2
votes
2answers
157 views

Coinflip statistics

There is a betting strategy for coinflips, called Martingale, in which the player should pick heads or tails and keep betting on it (doubling their bet on every loss) to eventually make a win when it ...
0
votes
4answers
86 views

Probability of $X$ out of $N$ dice landing on $M$

The problem is as follows: We have $N$ dice and we throw them on a table. What is the probability that $M$ will fall $X$ times? Specific example: We have $10$ dice and we throw them on a table. What ...
0
votes
2answers
226 views

Probability of gaining more than $\$20$ in a two person die game

Jack and Jill gamble on a roll of a die, as follows. If the die shows $1$ or $2$ spots, Jack gives Jill $\$1$. If the die shows $5$ or $6$ spots, Jill gives Jack $\$1$. If the die shows $3$ or $4$ ...
1
vote
1answer
57 views

Determining the probability of throwing $8$ with two dice

Suppose we have two dice. Now we are imposing a condition that the two dice are independent of each other and when we throw, we must have $8$ (that means $6+2 , 5+3$ or $4+4$ etc). Therefore we are ...
3
votes
1answer
264 views

How do you calculate the probability of army loss in Risk, but with modifiers to dice?

I was wondering how you can calculate the outcome of dice rolls in the board game Risk, but with modifiers, assuming 3 attackers and 2 defenders. In Risk the attacker rolls 3 dice, and the defender ...
3
votes
1answer
342 views

30-sided die, 2-player game

Two players play a game. Player 1 goes first, and chooses a number between 1 and 30 (inclusive). Player 2 chooses second; he can't choose Player 1's number. A fair 30-sided die is rolled. The player ...
5
votes
2answers
2k views

100-sided die probability

The question is as follows: You are given a 100-sided die. After you roll once, you can choose to either get paid the dollar amount of that roll OR pay one dollar for one more roll. What is the ...
4
votes
2answers
187 views

3 Die Probability

The number of times you have to roll a set of 3 die to see a 6 on each die appears to be around ~10.555 according to a implementation of this in c++ and c#. How would this be statistically proven as ...
2
votes
2answers
529 views

The Carnival Dice game

I was reading through an elementary mathematics book lately. The author claims that every probability question, no matter how intimidating it may look, can be solved using a four-step method: ...
4
votes
2answers
1k views

Rolling a fair die 4 times, what is the probability of getting an increasing sequence of numbers?

Game: I roll a die 4 times. What is the probability that I get a strictly increasing sequence of numbers. My initial thought is as follows: we condition on R1 (the first roll) being a 1, 2, or 3 ...
3
votes
1answer
65 views

Player 1 and Player 2 toss n and m fair dice respectively. What is the probability that there's no single coincidence between their results.

Coincidences within results of each player are possible. Example of "successful" event (n=m=3): {1,1,6} and {3,4,5} (no coincidences) Example of "unsuccessful" event (n=m=3): {1,2,6} and {2,4,5} (1 ...
0
votes
1answer
204 views

Expected number of different faces in multiple die roles

I roll 6 6-sided regular dice. What is the expected number of unique up-facing sides I will find among those dice?
2
votes
2answers
804 views

Rolling dice Probability that Sum

If 10 pairs of fair dice are rolled, approximate the probability that the sum of the values obtained (which ranges from 20 to 120) is between 30 and 40 inclusive. I dont know where to start with this ...
7
votes
1answer
525 views

What are fair point values for Zombie dice?

Described below is a modified version of Zombie dice ( http://www.sjgames.com/dice/zombiedice/ ) which the kids and I play. As in the original game, the idea is to sequentially roll sets of 3 ...
0
votes
1answer
634 views

Statistics question on probability

Suppose that one hundred fair dice are tossed. Estimate the probability that the sum of the faces showing exceeds 370. Include a continuity correction in your analysis.
1
vote
3answers
134 views

Probability of a dice game

Here is my question... n players playing a dice game which any of them who trows a 6 the game is over and he wins. They do it 1 by 1 .So what is the probabilty of winning for any 1 of them ? My ...
7
votes
2answers
98 views

Three equal die rolls in a row in a $3\times 3$ array

If 9 six-sided dice were rolled consecutively and displayed in a $3\times3$ format, what is the probability of a line of 3 of the same number occurring? Considering the 8 ways that are possible; 3 ...
2
votes
2answers
308 views

Probability of winning blackjack dice game?

I know a little bit about probability but I am not sure how to calculate this: In a dice game of blackjack, there are two parties. The player and the dealer. The aim of this game is to get as ...
2
votes
2answers
3k views

Solve for numbers to appear on two six-sided dice

I have a small wooden calendar that uses two six-sided dice to display day of month. One die carries numbers 0, 1, 2, 6, 7, 8 and the other carries 0, 1, 2, 3, 4, 5. The six of course doubles as the ...
0
votes
1answer
2k views

Dice question: Probability of rolling at least 2 of 3 dice with score 3 or less

my first post here. I've recently gotten back to boardgaming (Labyrinth: The War on Terror in this case) and would like to get clear on the probability of various actions. I've learnt about 'basic' ...
4
votes
1answer
105 views

Dice game modelling: Lose everything on “3”, double everything on “1” or “6”

I was recently playing a quite easy dice game: You trow a fair dice: if you get a "3" the next player continues, if you get something else it is up to you to continue. If you continue and you throw ...
0
votes
1answer
54 views

Finding range, partiton and finding the dependency of a random variable

How to do this question part (a) range(X) =(2,3,4,5,....12) right the range is usually from 2 to 12 range(y) =(2,3,4,5,6) the range is usually from two to 6 right? range(z) = (0,1,2,3,4,5) ...
4
votes
5answers
11k views

Probability of rolling three dice without getting a 6

I am having trouble understanding how you get $91/216$ as the answer to this question. say a die is rolled three times what is the probability that at least one roll is 6?