Engineering
Mathematics
Conditional Probability
Question

19 boys turn out for baseball. Of these, 11 are wearing baseball shirts and 14 are wearing baseball pants. There are no boys without one or the other. The number of boys wearing full uniform is

8

6

5

3

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Solution
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n(A∪B) = n(A) + n(B) − n(A∩B)

19 = 11 + 14 − n(A∩B) or n(A∩B) = 6

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