MathDB
Six pawns on a chessboard

Source: Poland Math Olympiad 1992 Round 1 #11

June 3, 2023
probability

Problem Statement

Given is a n×nn \times n chessboard. With the same probability, we put six pawns on its six cells. Let pnp_n denotes the probability that there exists a row or a column containing at least two pawns. Find lim⁡n→∞npn\lim_{n \to \infty} np_n.
Back to ProblemsView on AoPS