The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 13 - General Rules of Probability - Apply Your Knowledge - Page 311: 13.8

Answer

Let Role Playing Game = R Strategy Game = S P(R) = 0.139 P(S) = 0.354 $P(S^{c}) = 1 - P(S)$ = 1 - 0.354 = 0.646 $P(R∩S^{c}) = 0.139\\ P(R|S^{c}) = P(R∩S^{c}) / P(S^{c})$ = 0.139 / 0.646 = 0.215

Work Step by Step

Let Role Playing Game = R Strategy Game = S P(R) = 0.139 P(S) = 0.354 $P(S^{c}) = 1 - P(S)$ = 1 - 0.354 = 0.646 $P(R∩S^{c}) = 0.139\\ P(R|S^{c}) = P(R∩S^{c}) / P(S^{c})$ = 0.139 / 0.646 = 0.215
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