MathDB
2019 BMT Individual Tiebreaker 5

Source:

January 9, 2022
combinatoricsprobability

Problem Statement

Ankit, Box, and Clark are taking the tiebreakers for the geometry round, consisting of three problems. Problem kk takes each kk minutes to solve. If for any given problem there is a 13\frac13 chance for each contestant to solve that problem first, what is the probability that Ankit solves a problem first?