There's a glitch in ChatRoulette, and it matches you with a completely random person, despite your request to be matched with someone of a particular gender. Suppose that 70% of ChatRoulette participants are men (30% are women); 80% of participants are bat-shit crazy (20% are sane); and the proportion of crazies is the same regardless of gender. What is the probability that your next match is a sane woman?

There's a glitch in ChatRoulette, and it matches you with a completely random person, despite your request to be matched with someone of a particular gender. Suppose that 70% of ChatRoulette participants are men (30% are women); 80% of participants are bat-shit crazy (20% are sane); and the proportion of crazies is the same regardless of gender. What is the probability that your next match is a sane woman?

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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