Solution Found!
In the Banach matchbox problem, find the probability that
Chapter 4, Problem 77P(choose chapter or problem)
QUESTION:
Problem 77P
In the Banach matchbox problem, find the probability that at the moment when the first box is emptied (as opposed to being found empty), the other box contains exactly k matches.
Questions & Answers
QUESTION:
Problem 77P
In the Banach matchbox problem, find the probability that at the moment when the first box is emptied (as opposed to being found empty), the other box contains exactly k matches.
ANSWER:
Solution
Step 1 of 1
We have to find the probability that when the first box is emptied the other box contains exactly k matches
Let X be the k matches remaining in the other box
Let E1 be the event that left hand match box is empty and k matches in the right hand box
Here p=1/2, r=N, n=2N-k