Out of 60 % female and 40 % male candidates a | vedclass

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(D) Let the total number of candidates be $100$.Given that $60 \%$ are female and $40 \%$ are male,so there are $60$ females and $40$ males.Total cand

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$\frac{2}{3}$

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(D) Let the total number of candidates be $100$.Given that $60 \%$ are female and $40 \%$ are male,so there are $60$ females and $40$ males.Total candidates who qualify the exam $= 60 \%$ of $100 = 60$.Let $x$ be the number of males who qualify the exam.Then the number of females who qualify the exam is $2x$.Since the total number of qualified candidates is $60$,we have $x + 2x = 60$,which gives $3x = 60$,so $x = 20$.Thus,the number of males who qualify is $20$ and the number of females who qualify is $2 	imes 20 = 40$.$A$ candidate is randomly chosen from the $60$ qualified candidates.The probability that the chosen candidate is female $= \frac{	ext{Number of qualified females}}{	ext{Total number of qualified candidates}} = \frac{40}{60} = \frac{2}{3}$.

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