Two players play the following game. On an one-way endless checkered strip, the first player puts one triangle into a free cell, and the second player puts 1000 zeroes in free cells.The goal of the first player is to create an arithmetic progression of triangles of length 3, and the goal of the second player is to prevent him. Prove that the first player has a winning strategy.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Two players play the following game. On an one-way endless checkered strip, the first player puts one triangle into a free cell, and the second player puts 1000 zeroes in free cells.The goal of the first player is to create an arithmetic progression of triangles of length 3, and the goal of the second player is to prevent him. Prove that the first player has a winning strategy.

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