Question

Two persons are to be selected for a job out of 17 applicants (8 boys and 9 girls). Find the probability that at least one of the selected persons will be a girl.

• A. 27/34
• B. 15/34
• C. 21/34
• D. 19/34
• E. None of these

Answer 1

The correct option is A

27/34

The events of selection of two persons is redefined as (i) first is a girl AND second is a boy OR (ii) first is boy AND second is a girl OR (iii) first is a girl and second is also a girl.

So, the required probability = $\frac{9}{34}+\frac{9}{34}+\frac{9}{34}$ = $\frac{27}{34}$