Engineering
Mathematics
Conditional Probability
Question

In a class of 50 boys, 35 like horror movies, 30 like war movies and 5 like neither. Find the number of those that like both.

20

25

15

28

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Solution
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45 = 35 + 30 − n( A∩B) or n(A∩B) = 2045 = 35 + 30 − n(A∩B) or n(A∩B ) = 20

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