A box contains 12 apples, 16 mangoes and 8 oranges. If three fruits are drawn at random from the box, then find the probability of that two

A box contains 12 apples, 16 mangoes and 8 oranges. If three fruits are drawn at random from the box, then find the probability of that two of them are oranges and one is apple?

A. 22/91

B. 4/85

C. 9/61

D. 11/72

E. None of these

Sol:

The total number of fruits in the box = 12 + 16 +

8 = 36

Required probability = 12C1 * 8C2/36C3

= (12 * 8 * 7/2)/(12 * 35 * 17)

= 4/85