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

18
votes
2answers
1k views

Expected number of rolling a pair of dice to generate all possible sums

A pair of dice is rolled repeatedly until each outcome (2 through 12) has occurred at least once. What is the expected number of rolls necessary for this to occur? Notes: This is not very deep ...
7
votes
2answers
1k views

Probability of 3 of a kind with 7 dice

Similar questions: Chance of 7 of a kind with 10 dice Probability of getting exactly $k$ of a kind in $n$ rolls of $m$-sided dice, where $k\leq n/2$. Probability was never my thing, so please bear ...
19
votes
3answers
736 views

How many times do I roll an unfair die to determine its bias?

This question comes from computer security, but I'll distill it into a probability question: I have a biased die with 96 sides. 95 sides are equiprobable, each having a 1% chance of landing up. The ...
2
votes
3answers
445 views

Probability of Sum of Different Sized Dice

I am working on a project that needs to be able to calculate the probability of rolling a given value $k$ given a set of dice, not necessarily all the same size. So for instance, what is the ...
7
votes
3answers
527 views

Thought experiment for dice game

Two players in a dice game to see who can roll a total of 60 first, taking turns each rolling 2 dice. For one player, one die is 4 sided and one is 6 sided. Therefore the average roll for this ...
12
votes
3answers
576 views

Best Strategy for a die game

You are allowed to roll a die up to six times. Anytime you stop, you get the dollar amount of the face value of your last roll. Question: What is the best strategy? According to my calculation, for ...
5
votes
2answers
470 views

Probability for twelve dice

In 'An Introduction to Probability Theory and Applications' by W. Feller I encountered this apparently innocuous problem. A throw of twelve dice can result in $6^{12}$ different outcomes, to all ...
11
votes
1answer
678 views

What's the probability that a sum of dice is prime?

Prompted by today's Minute Math question on the MAA site (http://amc.maa.org/mathclub/5-0,problems/T-problems/T-web,ia/2005web/tb05-12-ia.shtml), I started thinking about the probability that the sum ...
4
votes
2answers
2k views

How can I (algorithmically) count the number of ways n m-sided dice can add up to a given number?

I am trying to identify the general case algorithm for counting the different ways dice can add to a given number. For instance, there are six ways to roll a seven with two 6-dice. I've spent quite ...
4
votes
2answers
322 views

a sequential game of dice

consider the following game: 10 dice are tossed and those showing 3 are more are retained. [those showing 2 or less are discarded.] the remaining dice are tossed again and those showing 4 or more are ...