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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201 views

Probability of rolling a cuboid dice

It's easy to count the probability of events on a regular dice because we know the probabilities ($P(1)$, $P(2)$, $P(3)$, $P(4)$, $P(5)$, $P(6)$) of all the basic outcomes ($P(i)=\frac{1}{6}$). ...
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1answer
203 views

The Probability of Rolling a Large Straight with 5 Six-Sided Dice [duplicate]

I don't know the probability of rolling a large straight with 5 six-sided dice, so I need to know what the probability is. What is it?
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2answers
165 views

The Probability of Rolling the Same Number with 10 Dice That Have 19 Sides

I like dice and I want to know what the probability is for rolling the same number with 10 dice that have 19 sides. Also, do these dice exist or not?
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0answers
64 views

How would you represent rolling 6 consecutive sixes via fair dice with a Markov Chain?

How would you represent rolling 6 consecutive sixes via fair dice with a Markov Chain? I thought I could have 0 -> 1 -> 2-> 3-> 4-> 5-> 6-> With each states representing # of consecutive sixes, ...
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0answers
24 views

If you roll a dice twice, and substract result of

If you roll a dice twice, and subtract $ Result_1 $ from $ Result_2 $, in what interval with 97% probability will lie number of all zeros, if we will do this experiment 1200 times. I assume, I ...
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2answers
95 views

Calculating dice probability and risk-reward value

Having trouble how to model this cost-risk question with Probability. Assume that you are given 5 standard six-sided dice, what's the probability you get at least three 2s? I have calculated this: ...
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1answer
36 views

Let's throw with a regular dice (probability)

Let's throw with a regular dice twice (independently). Let $X_{1}$ be the number of dots thrown on the first try and let $X_{2}$ be on the second. We know, that $X=X_{1} + X_{2}$. Calculate the ...
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1answer
85 views

Occurrences of 1,2, and 3 out of 4d6

I have 4d6 and I'm concerned with the odds of the numbers of ones, twos, and threes that show up in a roll of 4d6. Would I be correct in calculating the odds of one of these combinations, Say 1 one, 0 ...
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1answer
111 views

Dice probability of a winning more than $X\%$ of the time over $Y$ Throws

I have a die with three possible outcomes. The three outcomes are win (+1), draw (0) and lose (-1). $P(w) + P(d) + P(l) = 1$. (1) If I throw the die Y times, what is the probability I will win $X$ ...
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2answers
156 views

Dice sum probability range

If you roll one 6 sided die 1000 times, what is probability that sum of fallen numbers will be between 3400 and 3550 ?
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2answers
121 views

Probability of an event happening more times than at least one other event

I'm having trouble formulating this problem: How to find out the probability of an event A happening more times than at least one of events B, C or D? Assuming the events may have different chances of ...
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1answer
240 views

Probability in Rolling dice 6 times

If I have one dice and rolling the dice $6$ times. What is the probability that in the all $6$ times the result will be the same? I know that the probability for each number in $6$ sides dice is ...
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2answers
252 views

Expected number of rolls required to get sum greater than n for n faced die?

Suppose a guy has a die with $n$ faces. He can go on rolling it as many times as possible and add the sum of each outcome. What is the expected number of rolls after which the sum is at least $n$?
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4answers
493 views

Throwing dice: Probability Total is Divisible by 3

Suppose I throw a fair die $1995$ times. What is the probability that the total is divisible by 3? I tried to attack this problem inductively, storing the total in a variable $t \mod 6$, and ...
0
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2answers
106 views

permutations rolling die 6 times [closed]

How would you calculate the probability that if you roll a six sided die six times you will roll 1,2,3,4,5,6 consecutively. I am totally lost on how to even calculate this.
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1answer
63 views

The number of rolls of $6$ dice with exactly $4$ distinct values.

I know the answer is $${6 \choose 4}{5 \choose 3}$$ However, I don't understand why this is true?
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4answers
79 views

Roll summing over a long stretch

Say I roll a 6-sided die until its sum exceeds $X$. What is E(rolls)?
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1answer
47 views

Probability of a dice game with an emphasis on the number $4$

If I were to roll a set of $4\,$ four-sided dice $4\,$ times, what is the probability that on each of the $4\,$ dice rolls, the sum of the dice will be divisible by $4\,$?
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1answer
27 views

3 dices probability that number 5 comes up on exactly two of the three dice?

I roll three different loaded dice. For the first die the probability of getting a 5 is 0.7, for the second die the probability of getting a 5 is 0.48, and for the third die the probability of getting ...
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3answers
424 views

Throw 10 dice, probability of getting 6 identical numbers?

I got this result when I threw a set of 10 dice (btw. for the first with this set): What is a probability of getting 6 identical numbers (any) with 10 dice, with no particular order?
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1answer
86 views

Probability of a result from 3d6, lowest to highest

I have a fascination with tabletop sports games, and through that, I've developed an interest in probability. That said, it's not my strong suit, so I wanted to pose this question because I think ...
3
votes
4answers
161 views

Expected number of tosses before you see a repeat.

Suppose we roll a fair die until some face has appeared twice. For instance, we might have a run of rolls 12545 or 636. How many rolls on average would we make? What if we roll until a face has ...
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2answers
114 views

Probability of getting Required Sum

What is the probability of when four dice rolled together once,and getting a sum of Thirteen If we do by just calculating all possible values of sum, then it will take more time; so we can solve ...
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2answers
63 views

Probability theory - Dice

Two guys are playing dice with each wagering $50. Player 1 chooses 2 as his lucky number, and Player 2 chooses 6. Every time their lucky number appears as a result, the player gets one point. The ...
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3answers
117 views

Expected number of sixes tossed before success

Given a fair dice, what is the expected number of sixes that get tossed before throwing 2 sixes in a row? Would I start by finding all possible sets that occur without two sixes in a row and multiply ...
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2answers
418 views

Combinatorial probability of multiple dice rolls

I am trying to come up with a probability for a combinatorial problem that I'm working on and I'm stuck. I've managed to distil it down to a toy dice-roll problem: What is the probability of any two ...
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3answers
133 views

Probability of rolling unique sides on a bias die

If you have a six-sided die labeled 1-5 with two sides labeled 5, what's the probability of rolling the die five times and getting a unique side that you haven't previously rolled? I've been mulling ...
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2answers
82 views

Rolling a die, expected number of coins won

So this is a problem I'm stuck on, You roll a fair 4-sided die and with probability 1/3 you get to roll once more, and with probability 2/3 you have to stop. Assume that you get as many coins as the ...
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3answers
143 views

Trying to work out the probabilities of a dice game I used to play

At college, my friends and I would sometimes waste time playing a game with dice. We would roll 25 dice, pick out all the dice that landed on a 6, then roll the rest. This would carry on until all the ...
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2answers
95 views

Likelihood of sum of dice roll is exactly 1 million

A board game is set up such that there is a number line with squares numbered 0..1 million. You roll a standard 6 sided die and move forward the number of spaces that you roll. Eventually you will ...
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2answers
2k views

Probability of rolling 6's on 3 dice - adjusted gambling odds?

I'm struggling to work out odds on a game that were working on. It's probably best if I write an example as I'm really not a mathematician! I'm working on a dice game where the player bets 1 coin and ...
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3answers
2k views

Chance of getting six in three dice

I am having a hard time wrapping my head around this and am sure that my answers are wrong. There are three dice. A. Chance of getting exactly one six on the three dice. (1/6) * 3 = 1/3 B. Chance ...
0
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3answers
328 views

Rolling 6 dice and 4 on the same side

Guys I made myself a question to answer and its this. What is the probability of having 4 dice land on the same side if I toss 6 dice. I got this answer, I don't know if its correct. I dont want to ...
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1answer
125 views

Why Is It Rational to Bet on the Most Probable Event?!

Suppose that someone is going to bet in a game. A dice is rolled, and there are only these two options for betting: Option 1. Give 1 dollar and bet on 6. Option 2. Give 1 dollar and bet on 1, 2, 3, ...
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2answers
76 views

Dice sum probability

Simulate two separate dice (use random numbers with the appropriate range) being rolled 10 times. What are the percentage of rolls that resulted in a sum of 7, a sum of 2 and a sum of 11. I came ...
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0answers
86 views

probability of consecutive row of at least m by n<=2m events. Is there a shorter route?

Inspired by this I started to generalize it. Go out from independent events $E_{1},E_{2},\cdots$ that succeed or fail. This with $p$ as probability of succes, and $p+q=1$. Event $A_{m,n}$ occurs if ...
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1answer
110 views

Interesting pattern that I found while finding dice that always roll a prime number

The original puzzle I was trying to solve is to find unique numbers to write on the faces of two dice such that the numbers you see on each dice after rolling sum to a prime. I realized that for this ...
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2answers
136 views

The rotation of dice on a grid

Imagine you have a plane, flat surface with a square grid drawn on it. You have a standard cubic die which is placed flat on the surface. Its length is the same as the length of side of each grid ...
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2answers
499 views

Increasing sequence of dice rolls, explanation of “6 choose 2”

With a 6 sided die, what is the probability of 3 rolls being increasing? I understand from reading other questions that the answer is $\frac{\binom{6}{2}}{6^3}$. The $6^3$ on the denominator makes ...
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1answer
121 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 ...
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2answers
79 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 ...
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3answers
4k 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 ...
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3answers
147 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?
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5answers
407 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 ...
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2answers
719 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 ...
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2answers
415 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 ...
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1answer
100 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. ...
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1answer
171 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
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1answer
339 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 ...
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1answer
111 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 ...