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Chapter 1: Q. T5.9 SPT (page 1)

Suppose that a student is randomly selected from a large high school. The probability that the student is a senior is 0.22. The probability that the student has a driver’s license is 0.30. If the probability that the student is a senior or has a driver’s license is 0.36, what is the probability that the student is a senior and has a driver’s license?

a. 0.060

b. 0.066

c. 0.080

d. 0.140

e.0.160

Short Answer

Expert verified

The correct option is e.0.160.

Step by step solution

01

Step 1. Given information

P(Senior)=0.22P(Hasdriver'slicense)=0.30p(Seniororhasdriver'slicense)=0.36

02

Step 2. Explanation for correct option

The probability that randomly chosen students has a driver’s lesson and is a senior can be computed as:

P(Seniorandhasdriver'slicense)=P(Senior)+P(Hasdriver'slicense)-P(Seniororhasdriver'slicense)=0.22+0.30-0.36=0.16

The required probability is 0.160.

Hence, the correct option is (e).

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