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
• B. 0.74
• C. 1
• D. 0.09

Answer 1

The correct option is A 0.76

Given,

Probability that a girl student is selcted P(g)=0.4

Probability that a girl student is not selcted P'(g)=1-p(g)=1-0.4=0.6

Probability that a boy student is selcted P(b)=0.6

Probability that a boy student is not selcted P'(b)=1-p(b)=1-0.6=0.4

Now, A and B are independent events; hence, a and b too.

So, the probability that neither a boy nor a girl gets selected = $P^{\prime }\left(g\right)\times P^{\prime }\left(b\right)=0.4\times 0.6$ = 0.24.

Therefore, the probability that at least one of them gets scholarship = $1-P^{\prime }\left(g\right)\times P^{\prime }\left(b\right)=1-0.24=0.76$