# A bag contains 8 red and 5 white balls. 2 balls are drawn at random. What is the probability that both are white ?

A bag contains 8 red and 5 white balls. 2 balls are drawn at random. What is the probability that both are white ?

A. 5/16

B. 2/13

C. 3/26

D. 5/39

**Answer : **D. 5/39

## Explanation:

- n(S) = Number of methods for drawing 2 balls out of 13 = 13C2

= (13 x 12) / 2

= 78. - n(E) = No. of methods for drawing 2 balls out of 5 = 5C2

= (5 x 4) / 2

= 10. - Therefore, P(E) = n(E) / n(S)

= 10/78

= 5/39.