2016 Discrete Tiebreaker #1
Source:
August 10, 2022
2016Discrete Math Tiebreaker
Problem Statement
You own two cats, Chocolate and Tea. Chocolate and Tea sleep for and hours a day respectively, where and are chosen independently and uniformly at random from the interval . In a given day, what is the probability that Chocolate and Tea will together sleep for a total of at least hours?