Question

Georgia works at a book shop. She finds that when a book is chosen from the shop at random, the following probabilities are correct:

P( fiction )=0.34
P( paperback )=0.23
P( both fiction and paperback )=0.16
Work out P (neither fiction nor paperback ) as a decimal.

Answer 1

0.59

Explanation:

p(fiction) = 0.34 (fiction only and including fiction and paperback together)

p(paperback) = 0.23 (paperback only and including fiction and paperback together)

p(both fiction and paperback) = 0.16

p(fiction or paperback) = 0.34 + 0.23 - 0.16

p(friction or paperback) = 0.41

p(neither fiction nor paperback) = 1 - 0.41

p(neither fiction nor paperback) = 0.59