Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2016-part-07 — 182 problems (EN–VI) Question 29

Math Olympiad Vault · MathNet 2016-part-07 — 182 problems (EN–VI)

Question 29

In a standard 52 deck of cards, there are 13 cards of each of four suits. Kevin guesses the suit of the top card, and the top card is revealed and discarded. This process continues till there are no cards remaining.
If Kevin always guesses the suit of which there are the most remaining (breaking ties arbitrarily), prove that he will get at least 13 guesses right.