# A jar has 6 marbles, 1 blue, 1 white, 1 green, 1 yellow, 1 red, 1 black. If 5 marbles are removed at random, what is the probability that the green marble was removed?

Jun 29, 2016

The desired probability is $\frac{5}{6}$.

#### Explanation:

The probability that the green marble is removed in first instant is $\frac{1}{6}$

Hence, the probability that green marble is there among remaining $5$ marbles and not removed is $1 - \frac{1}{6} = \frac{5}{6}$.

This is equivalent to taking $5$ marbles at random and the green marble being among them.

Hence desired probability is $\frac{5}{6}$