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Arun and Ved appeared for an interview for two vacancies. The probability of Arun’s selection is 1/4 and that of Ved’s rejection is 2/3. Find the probability that at least one of them will be selected.

1 Answer

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Best answer

Consider A as the event ‘Arun is selected’ and B as the event ‘Ved is selected’

Here

We know that

P (atleast one of them getting selected) = P (selecting only Arun) + P (selecting only Ved) + P (selecting both)

= P (A and not B) + P (B and not A) + P (A and B)

So we get

We get

= 2/12 + 3/12 + 1/12

= 1/2

Hence, the probability that atleast one of them will get selected is 1/2.

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