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.

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182 views

Probability for the occurrence of each outcome in dice game

For a fictitious dice game, there is the following rules: Rules ...
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2answers
87 views

Probability of Exactly X Successes with Variable Success Dice

I am interested in finding the probability that on any single roll of dice you can have an exact number of successes. However, depending on the particular dice success is a different probability and I ...
3
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1answer
49 views

Probability of rolling n times 3 dices with a specific sum

Imagine we're rolling 3 dices. How many times do we need to roll them so we get a sum of 15 with a probability of 0.6. What I got so far: We're throwing the dices n times (this hints at bernoulli ...
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1answer
112 views

Probability of hitting a target number on x number of dice with y number of sides

I have a complicated probability question. I want to know how to calculate the probability of reaching a target number (or greater) on a variable number of dice with each die having a variable number ...
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2answers
58 views

I rolled a 6, what is the probability of having chosen a manipulated dice?

I have two dice, $F$ and $M$. $F$ is a fair die and thus $P_F(6)=\frac{1}{6}$. $M$ is manipulated and $P_M(6)=\frac{1}{2}$. I randomly choose a die and throw it. I already know ...
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1answer
95 views

Probability n Dice Results are subset of m Dice Results

Let D(n,m) be the probability that a multiset of n dice results will be a submultiset of m dice results. Multiset indicates repeats are counted: If n=3, {3,3,4} is a submultiset of {3,3,4,5,6} but ...
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2answers
114 views

What is the pmf of rolling a die until obtaining three consecutive $6$s?

I am trying to find the pmf of rolling a die until 3 consecutive 6s turn up. I am able to find the expected value using a tree diagram, but the pmf is not obvious to me. Let A be the event of not ...
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2answers
84 views

Game probability

I hope you could help me with this problem... The game goes this way: There are 6 players, numbered 1 to 6. Player 1 starts the game, he rolls a die with six faces. If the result (x) of rolling ...
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1answer
42 views

Probability game problem

I hope you could help me with this problem... The game goes this way: There are 6 players, numbered 1 to 6. Player 1 starts the game, he rolls a die with six faces. If the result (x) of rolling ...
0
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3answers
136 views

Probability six game player [duplicate]

The game goes this way: There are 6 players, numbered 1 to 6. Player 1 starts the game, he rolls a die with six faces. If the result ($x$) of rolling the die is 1 then Player 1 wins. Else the player ...
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2answers
296 views

Is rolling a dice a Gauss distribution?

I'm in an argument with a friend over rolling a dice several times, for example rolling 5 times. His argument is, that is far more difficult to roll out 1-1-1-1-1 than any other combination (for ...
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1answer
70 views

Probability of getting at least 4 numbers by rolling dice n times

I want to compute probability of getting at least 4 numbers by rolling dice n times. Now my formula is $$ P = \frac{6^n - 2^n * {6 \choose 2} + 4 * 1^n * {6 \choose 1}}{6^n} $$ But by principle of ...
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2answers
490 views

Probability of rolling a 6 before an odd number [closed]

A dice is rolled many times. What's the probability of rolling a 6 before an odd number? I'm unsure of where to start with this, please help.
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2answers
64 views

Loaded die probability

The loaded die has the following probabilities: $0.3,0.2,0.1,0.1,0.2,0.1$ for $1,2,3,4,5,6$ respectively. The question asks What is the probability of rolling at least one $1$ and no $2's$ in $4$ ...
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1answer
55 views

Probability's Game

The game goes this way: There are 6 players, numered 1 to 6 (Player 1, Player 2,...,Player 6). Player 1 starts the game, he rolls a dice with six faces. If the result (x) of rolling the dice is 1 ...
2
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1answer
119 views

Puzzle on rolling dice game

A gambler goes to bet. The dealer has 3 dice, which are fair, meaning that the chance that each face shows up is exactly 1/6. The dealer says: "You can choose your bet on a number, any number from 1 ...
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1answer
119 views

Roll dice, high number wins.

Me and my brothers (3 of us) decided to roll a single dice to see who would get to have my fathers old pocket knife. The guy who rolled the highest number would win. So I rolled first and got a 6, ...
2
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2answers
199 views

Proving pairwise independence and mutually independent

I have this problem that states: A = {red die is 3, 4, or 5} B = {blue die is 1 or 2} C = {sum is 7} Both the red and blue die are under equally likely probability. I need help ...
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2answers
62 views

If I do not know how much sides a dice has, how often should I throw it to know the number of sides?

Lets say we have a dice with an unknown number of sides, and we are only allowed to see the results of the rolls. How often do I have to throw the dice to know the number of sides?
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8answers
1k views

Probability that the sum of 6 dice rolls is even

Question: 6 unbiased dice are tossed together. What is the probability that the sum of all the dice is an even number? I think the answer would be 50%, purely by intuition. However, not sure if ...
0
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1answer
96 views

Use any dice to calculate the outcome of any probability

While looking at this question, I had a gut feeling that you can use any fair, single die with any number of sides to calculate the outcome of any probability. Assuming we express the probability as ...
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3answers
665 views

One die probability questions [closed]

I was given this exercise: If a standard die has twice the probability of rolling an odd number than an even number. Find the probability of rolling a non-prime number with this die. My attempt: ...
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3answers
80 views

Statistics dice question

$6$ people, $A, B, C, D, E, F$ sit in a circle to play a dice game. Rule of game: as you roll a die and get a number which is a multiple of $3$, give the die to the person on the ...
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1answer
50 views

two rolls of a die. independent.

for two rolls of a die, the dice fall independently. an even number shows on the first die and the event that an even number shows on the second die? this is what i got= the probability that the ...
2
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3answers
47 views

Probability. Fair dice with $n>6$ sides. Who wins?

I am fairly new to statistics so bear with me. Two players are playing a game with a fair dice that has $n>6$ sides. The sides are labeled $1,2,3,..,n$. The one who throws a larger number wins but ...
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0answers
42 views

Expected number of rolls until all die faces have appeared? [duplicate]

Suppose you have a die. On average, how many rolls does it take for all the faces (1 through 6) to have appeared? Also, what kind of distribution is this? (I thought of this question when watching ...
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4answers
199 views

Throwing dice 10 times

A fair dice was thrown 10 times, and it's been registered that all numbers 1-6 have appeared at least once. If this is true, what's the probability that at least 2 sixes have appeared? At first I ...
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2answers
223 views

Dice rolling game

Grallace and Womit are debating who should get to eat the last piece of Wensleydale in the fridge. To decide the issue, they agree to have a "roll-off", using the dice from their old MouseTrap set. ...
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1answer
108 views

Set of n dice are thrown…

I need help with this question: A set of n dice is thrown. All those that land on six are put aside and the others are again thrown. This is repeated until all the dice have landed on six. Let N ...
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1answer
40 views

Is the study of XdY Dice distributions well-studied and is there a simple closed form for their probability functions?

First, an explanation for those who are unfamiliar with the XdY dice format. $$ XdY \sim \sum_{i=1}^X\text{Uniform}\{1, 2, ..., Y\} $$ It is the sum of $X$ discrete uniformly distributed random ...
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1answer
70 views

formula for probability of specific die outcomes

Roll some number, N, of the same kind of dice, say d6. Picking a target outcome, say 1, what is the FORMULA to determine the chance of getting 1s as a result, which is to say, how many chances of 1 ...
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2answers
224 views

Poker Dice (Combinational Probability)

I've seen similar questions to this asked, and have searched the internet. I haven't found the exact questions here and the internet doesn't have the correct answers. Play poker using 5 fair dice ...
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1answer
72 views

Probability of no 6 or no 5 when dice is rolled n times

Can anyone guide me in the general direction of the answer to the following: A die is rolled $n$ times $$A = \text{no $6$s}$$ $$B = \text{no $5$s}$$ $$P(A\cup B) = \;?$$ I am first finding $P(A)$ ...
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1answer
27 views

Goodness-of-Fit tests for Multinomial and Binomial Data

A box has 4000 red, 5000 blue and 1000 orange balls. A selection of 70 balls is made, with 25 reds, 35 blues, and 10 oranges being observed. Can one essentially prove that the selection was NOT a ...
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2answers
187 views

dice probability - same 2 dice in 6 dice rolls

I have this simple probability problem that I am not sure I solved correctly. I am not interested in formulas, but rather the thought process of how to solve it. Suppose we roll six 6-sided dice that ...
3
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2answers
51 views

What is wrong with this logic based on a geometric distribution?

Problem #10 from A Collection of Dice Problems by Matthew M. Conroy, is: Suppose we can roll a $6$-sided die up to $n$ times. At any point we can stop and that roll becomes our score. The goal is ...
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2answers
67 views

Difficult probability with dice

I am completely stuck on this probability question involving dice. Any hints or help in the right direction would be great. You are given $6$ numbers: $2, 3, 4, 7, 8, 5: n_1, n_2,\dots , n_6$. ...
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1answer
86 views

Simulate sum of N dice throws

For starters let me apologise if it isn't proper forum or if it was asked, I'm not very good at probability and what more I'm not familiar with proper english terms, so I could miss something. I'm ...
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3answers
124 views

Probability rolling two different sided die and sum being a number

I'm building an app (for those curious, for DnD) and I came across an issue with some math I did. I need to know the probability of rolling a certain number when there are two or more different sided ...
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1answer
62 views

How do I go about solving this probability question?

I was playing around with dice this morning and flipping them, when a problem suddenly hit me. If I roll $n$ normal six-sided dice, and flip every single dice, what is the probability that the ...
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2answers
109 views

100-sided dice was rolled 98 times, how do you choose next numbes to bet, based on current outcomes.

100-sided dice was rolled 98 times, Numbers form 1 to 50 were rolled exactly once, except number 25, which wasn't rolled yet. Number 75 was rolled 49 times You can only bet if the next roll result ...
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1answer
51 views

How can I convert [number of expected success per try] into [probability of succeeding N times without failing]?

There's a push-your-luck dice game called Can't Stop where you roll four six-sided dice, group the dice into pairs of your choice, then advance tokens along paths corresponding to the sums of your ...
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2answers
80 views

conditional probability of coming up 3 at least in one dice

Sorry for the simple problem, but I wanted to make sure that my idea is right (this is is the problem 1.8.50 from Rice's book) Two dices are rolled and the sum of the face values is six. What is the ...
3
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1answer
61 views

Probability Dice and Expected Value

You are rolling a fair 30-sided die. (a) What is the expected number of rolls required to get a 27? (b) What is the expected number of rolls required to get a 27, followed later by a 28? For example, ...
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0answers
110 views

Probability of Sequential events on a die roll

If a person were to roll two dice and have to get a 9 or below for success. But if you fail the first time, you have the opportunity to roll it one more time for success, what is the probability of ...
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2answers
30 views

Having a value, calculating the probability of the number of times a die has been rolled

If I enter a friend's house and he has rolled a dice (d6) on a table which has a value $1$, he asks me the following, "Do you think I rolled this dice once and got $1$ or do you think I rolled it ...
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3answers
151 views

Can we simulate a biased coin with fair die? [closed]

Given a fair 6-sided die, how can we simulate a biased coin with P(H)= 1/$\pi$ and P(T) = 1 - 1/$\pi$ ?
2
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1answer
108 views

Monopoly dice probabilities, including doubles

According to Monopoly, when you roll a set of doubles, you get to roll again. So if we get 6;6, 5;5, 4;4, 3;3, 2;2, 1;1, we will roll again. However, Monopoly has the "speeding" rule, this means that ...
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2answers
99 views

Dice Probability (increasing numbers)

If I have 6 regular dice, (each numbered 1-6): What is the probability that when rolled that each will be a different number.(each individual di is a different number from 1-6, but a random order) ...
1
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1answer
29 views

Given Nd6, what is the probability that the two highest are minimum 4?

So, my statistics knowledge is rather poor, so I would welcome a formula explanation to the question: given Nd6 (6-sided dice) what is the probability that the two highest numbers are at least a 4? ...