MATH 214 Study Guide - Midterm Guide: Table Tennis, Response Bias

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10 Jan 2019
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Instructions: this exam consists of seven questions, found on the front and back of this page. Solve each problem on the indicated answer sheet. Unless instructed otherwise, round decimal answers to three decimal places where necessary, or leave answers as exact fractions. Calculators are allowed but you must show calculations for full credit. Answer questions 1 - 2 on answer sheet 1: a bag contains five ping-pong balls. Two are labeled with a 1 , two are labeled with a 2 and one is labeled with a 3 . To play the game, a player chooses two ping pong balls one at a time without looking. In order to win, the number on the second ball picked must be higher than the number on the first ball: draw either a grid or a simple tree diagram to represent the possible outcomes of this game. [6 pt: use your diagram to determine the probability of winning the game.