 Rolling Dice,
a selection of answers from the Dr. Math archives.
 Probability of Rolling a 6 on One Die
 The following questions came up during a game of Risk...
 Probability: 8sided die
 I have an octahedron. What's the probability I'll roll a seven?
 Rolling One Die Twice
 If one die is rolled twice, what is the probability of getting a 10?
 Probabilities when Rolling 10 Dice
 What are the odds of a player rolling the same numbers in the same
order as the house on 10 dice? ...of rolling the same numbers without
regard to the order in which they were rolled?
 Probability of Two Dice Summing to 5
 If a person rolls two dice, what is the probability of getting a five
as the sum?
 Sum of Two Dice
 Find the probabilities of rolling different sums.
 Throwing Dice More Than Once
 If I throw one die once the probability of getting any one of the
six numbers is 1/6. Does this change if I throw more than once?
 Dice: Full House
 What is the probability of rolling a full house with 5 sixsided dice?
 Probability and the 'Ways Method'
 Suppose we roll one sixsided die. What are the possible outcomes?
What is the probabiliy of rolling a 4? If we have two dice how many outcomes
are there? With two dice what is the probability of rolling a 5?
 Probability of an Even Number of 6's
 A fair die is thrown n times. Show that the probability that
there is an even number of sixes is 1/2 * [1+(2/3)^n].
 Probability in a Dice Game
 How can I find the probability of each player winning, and the most
likely length of the game, for a dice game that may continue forever?
 What is a Biased Die?
 How do we find the probability when the dice are biased?
 Biased Dice
 Assigning and adding probabilities.
 Getting One of Each Number (16)
Rolling N Dice
 I've been trying to determine various probabilities involving randomly
distributing items to a group of six people...
 Die Roll Probabilities in Gaming
 Players fight battles by rolling two dice and adding modifiers according
to each player's advantages. Generate a chart giving the odds of victory
based on modifiers.
 Rolling 3 Pairs with 6 Dice
 Upon playing the game '10,000' on the computer I was struck by the
frequency with which 3 pairs came up...
 Three Fair Dice
 Find the probabilities of a total of 9 and a total of 10 when three
fair dice are tossed once... Compare.
 Sum of 5 or 7: Dice Probability
 A pair of dice is rolled until a sum of either 5 or 7 appears.
Find the probability that a 5 will occur first.
 Tossing a Coin and Rolling a Die
 If you toss a coin and roll a die, what is the probability of obtaining:
a) heads and a five b) heads or a five c) tails or a two?
 Rolling a Die 600 and 5000 Times
 Toss a die 600 times, 5000 times. How many times does each number come
up? Approximately how many would you expect?
