MathDB

12.1

Part of 2024 Bulgarian Winter Tournament

Problems(1)

Tossing coins

Source: Bulgarian Winter Tournament 2024 12.1

1/28/2024
Maria and Bilyana play the following game. Maria has 20242024 fair coins and Bilyana has 20232023 fair coins. They toss every coin they have. Maria wins if she has strictly more heads than Bilyana, otherwise Bilyana wins. What is the probability of Maria winning this game?
combinatorics