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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