A small library holds 1240 books: 312 of the 478 novels (N) have hard covers (H), and

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A small library holds 1240 books: 312 of the 478 novels (N) have hard covers (H), and there are 440 books that do not have hard covers. Some of this information is shown in the Venn diagram opposite.

a. Find the value of a, of b and of c.

b. A random selection of 25 of these books is to be donated to a charity group. The charity group hopes that at least 22 of the books will be novels or hard covers. Calculate the probability that the charity group gets what they hope for.

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