MathDB
2019 BMT Individual Tiebreaker 2

Source:

January 9, 2022
probabilitycombinatorics

Problem Statement

The origami club meets once a week at a fixed time, but this week, the club had to reschedule the meeting to a different time during the same day. However, the room that they usually meet has 55 available time slots, one of which is the original time the origami club meets. If at any given time slot, there is a 3030 percent chance the room is not available, what is the probability the origami club will be able to meet at that day?