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

Question

Chuckles

Mathematics

4 March, 17:43

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

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Nathanael Sanford · Answer 1

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