1 A large bookcase contains two types of book: hardback and paperback. The number of books of each type in each of four subject categories is shown in the table.
| \multirow{2}{*}{} | Subject category | |
| | Crime | Romance | Science fiction | Thriller | Total |
| \multirow{2}{*}{Type} | Hardback | 8 | 16 | 18 | 18 | 60 |
| Paperback | 16 | 40 | 14 | 30 | 100 |
| Total | 24 | 56 | 32 | 48 | 160 |
- A book is selected at random from the bookcase. Calculate the probability that the book is:
- a paperback;
- not science fiction;
- science fiction or a hardback;
- a thriller, given that it is a paperback.
- Three books are selected at random, without replacement, from the bookcase.
Calculate, to three decimal places, the probability that one is crime, one is romance and one is science fiction.