The probability a new purchase of a fiction novel is in the form of an e-book is 0.28. The probability a newly purchased fiction novel is on the bestseller list is 0.4. Assume whether a new purchase of a fiction novel is in the form of an e-book is independent of whether the book is on the bestseller list. What is the probability a new purchase of a fiction novel is a book on the bestseller list given it is purchased in the form of an e-book

0.568

Step-by-step explanation:

P( e-book) = 0.28, P(On the bestseller list) = 0.4

Since event e-book and bestseller list are independent,

( Using formula, P( A OR B) = P(A) + P(B) - P( A AND B) )

P(e-book AND On the bestseller list) = P( e-book) * P(On the bestseller list)

P( e-book OR on the bestseller list) = P( e-book) + P(On the bestseller list)

- P( e-book) * P(On the bestseller list)

= 0.28 + 0.4 - 0.28 * 0.4

= 0.568

360 different combinations