0
votes
1answer
59 views

Roll 2 dice adding and rolling one die, probability of being equal

Roll two dice, add the results, call the number x. Roll one die call that number y. What is the probability that x and y are equal? Help please.
1
vote
1answer
69 views

Using Generating Series to Find Sum of Sides of Dice

Question: " Let k be a non-negative integer. Use the theory of generating series to find the expected value of the sum of the dots when k (6-sided) dice are rolled. " I know that the generating ...
0
votes
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 ...
4
votes
4answers
478 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 ...
3
votes
3answers
140 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 ...
3
votes
2answers
716 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 ...
0
votes
1answer
53 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
2answers
536 views

Problem about $n$ six-sided dice and the sum of the values

(AHSME 1994) When $n$ standard six-sided dice are rolled, the probability of obtaining a sum of 1994 is greater than zero and is the same as the probability of obtaining a sum of $S$. What is the ...
2
votes
1answer
109 views

Throwing the dice, sum of the points

We are throwing the die (original cube for the board games). How many are ways to get the sum of the points equal to $n$ ? I've heard this problem today in the morning and still can't deal with ...