In: Statistics and Probability
Question3(A) Exercise 2.4.29 (The gambler’s ruin problem) Two gamblers, A and B, bet on the outcomes of successive flips of a coin. On each flip, if the coin comes up heads, A collects from B $1.00, whereas if it comes up tails, A pays to B $1. They continue to do this until one of them runs out of money. If it is assumed that the successive flips of the coin are independent and each flip results in a head with probability 50%, what is the probability that A winds up with all the money if A starts with $5 and B starts with $3.
Question 3(B) Repeat #3(A) but assume both A and B start with $5.
Question 3(C) Repeat #3(A) but assume the probability of getting a head is 80%