13 A small library holds 1240 books: 312 of the 478 novels (N) have hard 1240 covers (H), and there are 440 books that do not have hard covers. Some of this information is shown in the Venn diagram opposite. 9 =166 b=274 Co 488 Find the value of a, of b and of c. 312 a a b A random selection of 25 of these books is to be donated to a 478 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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Please help part a and b
13 A small library holds 1240 books: 312 of the 478 novels (N) have hard 1240
covers (H), and there are 440 books that do not have hard covers.
Some of this information is shown in the Venn diagram opposite.
9 =1166
b=274
co 488
Find the value of a, of b and of c.
312
a
a
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.
478
Transcribed Image Text:13 A small library holds 1240 books: 312 of the 478 novels (N) have hard 1240 covers (H), and there are 440 books that do not have hard covers. Some of this information is shown in the Venn diagram opposite. 9 =1166 b=274 co 488 Find the value of a, of b and of c. 312 a a 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. 478
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