Out of [60 %] female and [40 %] male candidates appearing in an exam, [60 %] candidates qu…

Question

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 :

Accepted Answer

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) $$ = {{20} \over {60}} = {1 \over 3}$$

Solutions · 1