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 80% of ChatRoulette participants are men (20% are women); 70% of participants are bat-shit crazy (30% are sane); and the proportion of crazies is the same regardless of gender. What is the probability that your next match is a sane man?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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 80% of ChatRoulette participants are men (20% are women); 70% of participants are bat-shit crazy (30% are sane); and the proportion of crazies is the same regardless of gender.

What is the probability that your next match is a sane man?

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