Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.
Solution
Correct Answer: Option D
The events of selection of two person is redefined as first is a girl and second is a boy or first is boy and second is a girl or first is a girl and second is a girl.
So the required probability:
= \(\left(\frac8{17}\times\frac9{16}\right)+\left(\frac9{17}\times\frac8{16}\right)+\left(\frac8{17}\times\frac7{16}\right)\)
= \(\frac9{34}+\frac{\displaystyle9}{\displaystyle34}+\frac{\displaystyle7}{\displaystyle34}\)
= \(\frac{25}{34}\)
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