Question

A bag contains the following fourteen marbles.

Fourteen marbles are shown. 4 are purple, 5 are green, 3 are blue, and 2 are red.

Deepak randomly chooses two marbles from the bag, one at a time, and replaces the marble after each choice. What is the probability he will choose one green marble and then one red marble? Express the probabilities in fraction form.

P(green) =

P(red) =

P(green and red) =

Answer 1

P(green) = 5/14

P(red) = 2/14 = 1/7

P(green and red) = (5/14)*(2/14) = 10/196 = 5/98