Probability question.

Question

A math class consists of 25 students, 14 females and 11 males. Three students are selected at random to participate in a probability experiment. Compute the probability that a male is selected, then two females.

Answer 1

selection will be MFF

probability of picking first male is 11/25, leaving 24 and 14 females.

then probability of picking first female is 14/24, leaving 23 and 13 females.

then probability of picking second female is 13/23

probability of all 3 events occurring is the product of the above probabilities = 11/25 * 14/24 * 13/23 = 2002/13800 = 0.1451