There is a 25% chance that a book has a red cover, a 32% chance that a book is fiction, and an 8% chance that a book is fiction with a red cover. Determine the probability that a book has a red cover or is fiction.

65%
57%
49%
8%

Question

There is a 25% chance that a book has a red cover, a 32% chance that a book is fiction, and an 8% chance that a book is fiction with a red cover. Determine the probability that a book has a red cover or is fiction.

65%
 57%
 49%
 8%

toga · Answer

To determine the probability that a book has a red cover or is fiction, we can use the formula:

P(Red or Fiction) = P(Red) + P(Fiction) - P(Red and Fiction)

Using the information given in the problem, we can plug in the probabilities:

P(Red or Fiction) = 0.25 + 0.32 - 0.08
P(Red or Fiction) = 0.49

Therefore, the probability that a book has a red cover or is fiction is 49%, which is option C.