JEE MAIN - Mathematics (2022 - 28th July Morning Shift - No. 8)
Out of $$60 \%$$ female and $$40 \%$$ male candidates appearing in an exam, $$60 \%$$ candidates qualify it. The number of females qualifying the exam is twice the number of males qualifying it. A candidate is randomly chosen from the qualified candidates. The probability, that the chosen candidate is a female, is :
$$\frac{2}{3}$$
$$\frac{11}{16}$$
$$\frac{23}{32}$$
$$\frac{13}{16}$$
Explanation
P (Female) $$ = {{60} \over {100}} = {3 \over 5}$$
P (Male) $$ = {2 \over 5}$$
P (Female/Qualified) $$ = {{40} \over {60}} = {2 \over 3}$$
P (Male/qualified) $$ = {{20} \over {60}} = {1 \over 3}$$
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