BMT 2022 Fall Discrete P3
Source:
May 6, 2023
number theory
Problem Statement
Katie and Allie are playing a game. Katie rolls two fair six-sided dice and Allie flips two fair two-sided coins. Katie’s score is equal to the sum of the numbers on the top of the dice. Allie’s score is the product of the values of two coins, where heads is worth and tails is worth What is the probability Katie’s score is strictly greater than Allie’s?