A box contains 3 white and 2 balck balls. Two balls are drawn at random one after the other. If the balls are not replaced. What is the probability that both the balls are black.?

Options

A. `2//5`
B. `1//5`
C. `1//10`
D. None of these

Answer

B

Explanation

Total number of balls=5
Nuber of black balls=2
Required prpobability
`=(n(E))/(n(S))=(.^(2)C_(1)xx.^(1)C_(1))/(.^(5)C_(2))=(2)/(5)xx(1)/(2)=(1)/(5)`