2019 Team #8
Source:
May 1, 2022
2019 Team
Problem Statement
Greg plays a game in which he is given three random digit numbers, each between and , inclusive, with repeats allowed. He is to put these three numbers into any order. Exactly one ordering of the three numbers is correct, and if he guesses the correct ordering, he wins . What are Greg's expected winnings for this game, given that he randomly guesses one valid ordering when he plays?