MathDB
BMT 2021 General p16

Source:

September 27, 2023
algebracombinatorics

Problem Statement

Jason and Valerie agree to meet for game night, which runs from 4:004:00 PM to 5:005:00 PM. Jason and Valerie each choose a random time from 4:004:00 PM to 5:005:00 PM to show up. If Jason arrives first, he will wait 2020 minutes for Valerie before leaving. If Valerie arrives first, she will wait 1010 minutes for Jason before leaving. What is the probability that Jason and Valerie successfully meet each other for game night?