Q.

One hundred students appeared for two examinations 60 passed in first, 50 passed the second and 30 passed both. The probability that a student selected at random has failed in both examinations is

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a

15

b

45

c

35

d

17

answer is A.

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Detailed Solution

P(I) =60100, P(II) =50100,  P(I∩II)= 30100 ⇒P(I∪II)= 60+50−30100 = 80100 = 45P(I¯∩II¯)=1-p(1∩11)  The probability that a student selected at random has failed in both examinations is 15
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One hundred students appeared for two examinations 60 passed in first, 50 passed the second and 30 passed both. The probability that a student selected at random has failed in both examinations is