Putnam 2002 B1
Source:
March 12, 2012
Putnamprobabilityinductionconditional probabilitycollege contests
Problem Statement
Shanille O'Keal shoots free throws on a basketball court. She hits the first and misses the second, and thereafter the probability that she hits the next shot is equal to the proportion of shots she has hit so far. What is the probability she hits exactly of her first shots?