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Chapter 5: Q 73. (page 330)

Tall people and basketball players Select an adult at random. Define events T: a person is over 6 feet tall, and B: a person is a professional basketball player. Rank the following probabilities from smallest to largest. Justify your answer.

P(T)P(B)P(T|B)P(B|T)

Short Answer

Expert verified

P(B)<P(B/T)<P(T)<P(T/B)

Step by step solution

01

Step 1. Given Information

Events T: individual is over 6feet tall, and B: individual is a professional basketball player. The probability given are P(T)P(B)P(T/B)P(B/T)

02

Step 2. Concept Used

For mutually exclusive events, use the addition rule.

03

Step 3. Explanation

Because most basketball players are extremely tall, P(T/B) has the highest likelihood. Because there are so many tall people, the next highest probability should beP(T) Because most tall people do not play basketball, P(B/T) is less than P(T), but larger than P(B), because tall persons are more inclined to do so. As a result, from least to largest, the order is: P(B)<P(B/T)<P(T)<P(T/B)

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