Solution Found!
A and B alternate rolling a pair of dice, stopping either
Chapter 3, Problem 74P(choose chapter or problem)
A and B alternate rolling a pair of dice, stopping either when A rolls the sum 9 or when B rolls the sum 6. Assuming that A rolls first, find the probability that the final roll is made by A.
Questions & Answers
QUESTION:
A and B alternate rolling a pair of dice, stopping either when A rolls the sum 9 or when B rolls the sum 6. Assuming that A rolls first, find the probability that the final roll is made by A.
ANSWER:
Step 1 of 2
Given A rolls the sum 9 or when B rolls the sum 6.
Our goal is :
We need to find the probability that the final roll is made by A.
Favorable condition for A : (3,6), (6,3), (4,5), (5,4).
Then the probability A rolls a sum 9
The probability of A is
P(A) =
P(A) =
Now the favourable conditions for B is (1,5), (5,1), (2,4), (4,2), (3,3).
Hence the probability that B rolls a sum 6
The probability of B is
P(B) =