Problem
1: Item $\circlearrowleft$ world cup-Google.. $๑$ google Classes $19,077 \times \mathrm{XP}$ - Jakai Matthews Bookwork code: G24 Gx Calculator This is a new version of the question. Make sure you start new workings. Georgia works at a book shop. She finds that when a book is chosen from the shop at random, the following probabilities are correct: \[ \begin{array}{c} P(\text { fiction })=0.34 \\ P(\text { paperback })=0.23 \\ P(\text { both fiction and paperback })=0.16 \end{array} \] Work out $P$ (neither fiction nor paperback) as a decimal. Back to task Watch video Answer $>$
Solution
Step 1 ：Given probabilities: \(P(\text{fiction}) = 0.34\), \(P(\text{paperback}) = 0.23\), and \(P(\text{both fiction and paperback}) = 0.16\)
Step 2 ：Calculate the probability of a book being fiction or paperback: \(P(\text{fiction or paperback}) = P(\text{fiction}) + P(\text{paperback}) - P(\text{both fiction and paperback}) = 0.34 + 0.23 - 0.16 = 0.41\)
Step 3 ：Calculate the probability of a book being neither fiction nor paperback: \(P(\text{neither fiction nor paperback}) = 1 - P(\text{fiction or paperback}) = 1 - 0.41 = 0.59\)
Step 4 ：\(\boxed{P(\text{neither fiction nor paperback}) = 0.59}\)
