Skip to content / Đến nội dung
ThichHocToan.com

AMO 2021 – Junior College (Grades 11–12) Question 25

AMO · AMO 2021 – Junior College (Grades 11–12)

Question 25

Mary and Noah play a fair coin-tossing game of at most seven rounds: Mary wins each head and Noah wins each tail. The first to four wins receives 10000 cents. Play is interrupted after three rounds, with Mary leading 2–1. If the prize is divided according to their probabilities of eventually winning, how many cents should Noah receive? Source clarification: the name “Ron” appears once in place of Noah; it refers to the same second player.

Question illustration