Question

there is a 25% chance that a book has a red cover, a 48% chance that a book is fiction, and a 12% chance that a book is fiction with a red cover. determine the probability that a book has a red cover or is fiction.

Explanation:

Step1: Use the formula for the probability of \(A\cup B\)

The formula for \(P(A\cup B)=P(A)+P(B)-P(A\cap B)\). Let \(A\) be the event that a book has a red cover (\(P(A) = 25\%\)) and \(B\) be the event that a book is fiction (\(P(B)=48\%\)), and \(P(A\cap B) = 12\%\)

Step2: Substitute the values into the formula

\(P(A\cup B)=25\%+48\%-12\%\)

Step3: Calculate the sum

\(25\%+48\% = 73\%\), then \(73\%-12\%=61\%\)

Answer:

\(61\%\)