# A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow ?

A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow ?

A. 2/91

B. 1/81

C. 1/8

D. 2/81

### **Answer : ** A. 2/91

## Explanation:

Total number of balls = 4 + 5 + 6 = 15

Let S be the sample space.

n(S) = Total number of ways of drawing 3 balls out of 15 = 15C3

Let E = Event of drawing 3 balls, all of them are yellow.

n(E) = Number of ways of drawing 3 balls, all of them are yellow = Number of ways of drawing 3 balls from the total 5 = 5C3 (∵ there are 5 yellow balls in the total balls)

P(E) = n(E)/n(S) = 2/91