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Question

The probability of getting a girl student selected for IAS is 0.4 and that of a boy candidate selected is 0.6, the probability that at least one of them will be.selected for IAS is ____.

A
0.76
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B
0.74
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C
1
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D
0.09
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Solution

The correct option is A 0.76Given,Probability that a girl student is selcted P(g)=0.4Probability that a girl student is not selcted P'(g)=1-p(g)=1-0.4=0.6Probability that a boy student is selcted P(b)=0.6Probability that a boy student is not selcted P'(b)=1-p(b)=1-0.6=0.4Now, A and B are independent events; hence, a and b too.So, the probability that neither a boy nor a girl gets selected = P′(g)×P′(b)=0.4×0.6 = 0.24.Therefore, the probability that at least one of them gets scholarship = 1−P′(g)×P′(b)=1−0.24=0.76

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