Question

There are 10 balls in a bag. 3 are red, 5 are white, 2 are blue. You are to randomly choose two balls, taking one out and then another without replacement.

What is the probability that you will get two red balls?

Answer 1

There are 10 balls in a bag out of which 3 are red, 5 are white and 2 are blue.

2 balls are chosen randomly without replacement.

The probability that you will get two red balls is given by

P(2 red balls) = number of ways of selecting 2 red balls out of 3 red balls / number of ways of selecting 2 balls out of 10 balls

                      = ³C₂ / ¹⁰C₂

                      = 1 / 15

Therefore, the probability that you will get two red balls is 1/15.