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Question: There are 19 books on Geography, 16 books on Zoology and 20 books on Math in a bundle of books. Three books are selected one after the other. Find P(book on Zoology, book on Geography, no book on Math).


A ) 2321
B ) 1522385
C ) 1160
D ) 91215125

Steps to derive

1 P(first book on Zoology) = Number of books on Zoology Total number of books = 1655

2 P(second book on Geography) = Number of books on GeographyNumber of books remaining = 1954

3 As the third book should not be a Math book, it should be selected from the remaining 18 Geography books or 15 Zoology books.

4 P(no book on Math) = 3353

5 P(book on Zoology, book on Geography, no book on Math) = P(book on Zoology) × P(book on Geography) × P(no book on Math)

 [Substitute and simplify.]
7 = 1655 × 1954 × 3353 = 1522385



Hence the right answer is Option B

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