Out of 60 % female and 40 % male candidates appearing in an exam, 60 % candidates qualify it. The number of…

Given,

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

Now plotting the given value we have,

Now probability that chosen candidate is female $=\frac{40}{60}=\frac{2}{3}$

 

Note: we have modified the option, as this question of 28th july 2022 jee mains was a bonus.