In my bookcase there are four shelves and the number of books on each shelf is as

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In my bookcase there are four shelves and the number of books on each shelf is as shown in the table: Hardback Paperback Shelf 1 11 9 Shelf 2 8 12 Shelf 3 16 4. Shelf 4. 9 3

(a) If I choose a book at random, irrespective of its position in the bookcase, what is the probability that it is a paperback?

(b) i am equally likely to choose any shelf. I choose a shelf at random and then choose a book. (i) What is the probability that it is hardback? (ii) If the book chosen is a hardback, what is the probability that it is from shelf 3?

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