Suppose that we have a group of 10 people. Of these 10, 9 own cars, 3 own boats, and 2 own both a car and a boat. Let C = car and B = boat. Then P(C) = probability of one person owning a car, and so on. If you pick one of these people out at random, find the following probabilities:   1) P(C) 2) P(B) 3) P(C B) (the probability that the person owns both a car and a boat).

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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Suppose that we have a group of 10 people. Of these 10, 9 own cars, 3 own boats, and 2 own both a car and a boat. Let C = car and B = boat. Then P(C) = probability of one person owning a car, and so on. If you pick one of these people out at random, find the following probabilities:

 

1) P(C)

2) P(B)

3) P(C B) (the probability that the person owns both a car and a boat).

4) P(C | B) (the probability that the person picked owns a car, when it is known that he/she owns a boat).

5) P(B | C)

 

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