MathDB
2021 Spring LMT Division B Problem 16

Source:

January 22, 2022
algebra

Problem Statement

Bob plants two saplings. Each day, each sapling has a 1/31/3 chance of instantly turning into a tree. Given that the expected number of days it takes both trees to grow is m/nm/n , where mm and nn are relatively prime positive integers, find m+nm +n.
Proposed by Powell Zhang