Rock-paper-scissors Almost everyone has played the

Chapter 7, Problem 7.18

(choose chapter or problem)

Rock-paper-scissors Almost everyone has played the rock-paper-scissors game when they were younger. Two players face each other and, at the count of 3, make a fi st (rock), an extended hand, palm side down (paper), or a V with the index and middle fi ngers (scissors). Th e winner is determined by these rules: rock smashes scissors; paper covers rock; and scissors cut paper. If the two players choose diff erent objects, then there is a winner. But both could choose the same object (for example, rock), in which case there is no winner. One of the questions that we might explore is What is the probability that a game will result in a winner? (a) State assumptions for the chance behavior involved in this setting. (b) Assign digits to represent outcomes. (c) Simulate 20 repetitions using your calculator or Table B. What is your estimate of the probability?