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

Let the total number of candidates be 100.

Since there are 60 female candidates and 40 male candidates, the total number of qualified candidates is 60% of 100, which equals 60.

Let the number of males qualifying be $$m$$; then the number of females qualifying is $$2m$$. Substituting into the total gives $$2m + m = 60$$, so $$m = 20$$. This gives us females qualifying = 40 and males qualifying = 20.

From the above, the probability that a randomly chosen qualified candidate is female is $$\frac{40}{60} = \frac{2}{3}$$. Therefore, the answer is Option A.