A bag contains three red marbles, five blue marbles in to Green marbles. If two marbles are drawn out of the bag. What is the exact probability that both marbles drawn will be blue

Answer 1

The total number of marbles in the bag is 3 + 5 + 2 = 10.
The number of ways to draw two blue marbles out of the five blue marbles is given by the choose function: C(5, 2) = 5! / (2! * (5 - 2)!) = 10.
The total number of ways to draw two marbles out of 10 marbles is given by C(10, 2) = 10! / (2! * (10 - 2)!) = 45.

So the probability of drawing two blue marbles is 10/45 = 2/9, or approximately 0.222.