Question

26. A math class consists of 25 students, 14 female and 11 males. Three students are selected at random to participate in a probability experiment. Compute the probability that
    1. a male is selected, then two females.
    2. a female is selected, then two males.
    3. two females are selected, then one male.
    4. three males are selected.
    5. three females are selected.

Answer 1

Answer:

Given,

Total students = 25

Number of male students = 11

Number of female students = 14

a)

To give the probability that a male is selected, then two females.

= 11/25 * 14/24 * 13/23

= 0.44 * 0.5833 * 0.5652

= 0.1451

b)

To give the probability that a female is selected, then two males

= 14/25 * 11/24 * 10/23

= 0.56 * 0.4583 * 0.4348

= 0.1116

c)

To give the probability that two females are selected, then one male

= 14/25 * 13/24 * 11/23

= 0.56 * 0.5417 * 0.4783

= 0.1451

d)

To give the probability that three males are selected

= 11/25 * 10/24 * 9/23

= 0.44 * 0.4167 * 0.3913

= 0.0717

e)

To give the probability that three females are selected

= 14/25 * 13/24 * 12/23

= 0.56 * 0.5417 * 0.5217

= 0.1583