A brother and a sister appear for an interview against two vacant posts in an office. The probability of the brother’s selection is 1/5 and that of the sister’s selection is 1/3. What is the probability that only one of them is selected?
Solution
Correct Answer: Option C
Probability that only one of them is selected = (prob. that brother is selected) × (prob. that sister is not selected) + (Prob. that brother is not selected) × (Prob. that sister is selected)
= \(\left(\frac15\times\frac23\right)+\left(\frac45\times\frac13\right)\)
= \(\frac25\)
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