A bag contains 3 white, 3 black and 2 red balls. One by one, three balls are drawn without replacing them. Find the probability that the third ball is red.

Options

A. `(2)/(56)`
B. `(3)/(56)`
C. `(1)/(56)`
D. `(14)/(56)`

Answer

D

Explanation

Three possible cases are

`therefore` Required probability
`=(2)/(8)xx(6)/(7)xx(1)/(6)+(6)/(8)xx(2)/(7)xx(1)/(6)+(6)/(8)xx(5)/(7)xx(2)/(6)=(14)/(56)`