Question

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. 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?

Answer 1

Answer: Our required probability is 0.16.

Step-by-step explanation:

Since we have given that

Probability that the student is a senior = 0.22

Probability that the student has a driver license = 0.30

Probability that the student is a senior or has a driver's license = 0.36

We need to find the probability that the student is a senior and has a driver's license.

According to question,

$P(S\cap D)=P(S)+P(D)-P(S\cup D)\\\\P(S\cap D)=0.22+0.30-0.36\\\\P(S\cap D)=0.16$

Hence, our required probability is 0.16.