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Chapter 3: Q.3.12 (page 110)

Maria will take two books with her on a trip. Suppose that the probability that she will like book 1 is .6, the probability that she will like book 2 is .5, and the probability that she will like both books is .4. Find the conditional probability that she will like book 2 given that she did not like book 1.

Short Answer

Expert verified

The conditional probability is0.25.

Step by step solution

01

Given Information

Let A be the event that Maria likes book land B be the event that Maria likes book 2. role="math" localid="1648005900157" PB∣A' is the conditional probability that she will like book 2 given that she did not like book 1.

02

Explanation

P(B|A')

PBA'=P(B)-P(BA)=0.5-0.4=0.1

PB∣A'=PBA'/P(A)=0.1/0.4=0.25

03

Final Answer 

0.25is the conditional probability that she will like book 2given that she did not like book role="math" localid="1648006044624" 1.

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