Question 113
Maria and Bilyana play the following game. Maria has 2024, and Bilyana has 2023 fair coins. Coins are tossed randomly - the probability of each individual coin being heads after the toss is $\frac{1}{2}$. Maria wins if there are strictly more heads among her coins than Bilyana's, otherwise Bilyana wins. What is the probability that Maria wins?
(Kristiyan Vasilev)
(Kristiyan Vasilev)