4. A group of game theorists have a party, and in attendance there are 7 who prefer normal play, and 5 who prefer misère play. Eventually, a fight breaks out involving 4 people. (Fights break out amongst all groups of 4 game theorists with equal probability.) What is the probability that the fight... (a)... involves only misère theorists? 5432 total: 12 11 10 9 (b)... involves equal numbers of normal and misère theorists? 7654 (c) ... involves Aaron but not Rebecca? In las. 10 9 8 5.4.3.2 12·11·10.9 7.6.8.4 12.11.10.9 2 2 5439 3 = (d) ... involves mote misère theorists than normal theorists? 7 10.4.82 12.11.40.9 99 99 ·01 ~ 1.0 11 = -0 N 33 5.4.3.9 12.11.20.998

4. A group of game theorists have a party, and in attendance there are 7 who prefer normal play, and 5 who prefer misère play. Eventually, a fight breaks out involving 4 people. (Fights break out amongst all groups of 4 game theorists with equal probability.) What is the probability that the fight... (a)... involves only misère theorists? 5432 total: 12 11 10 9 (b)... involves equal numbers of normal and misère theorists? 7654 (c) ... involves Aaron but not Rebecca? In las. 10 9 8 5.4.3.2 12·11·10.9 7.6.8.4 12.11.10.9 2 2 5439 3 = (d) ... involves mote misère theorists than normal theorists? 7 10.4.82 12.11.40.9 99 99 ·01 ~ 1.0 11 = -0 N 33 5.4.3.9 12.11.20.998

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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