An urn contains 8 white and 3 red balls.if two ball are drawn at random, find the probability of getting one of each colour, both are same colour

Answer 1

For the first part, we’re looking for the probability of picking a red and a white ball. Since we’re choosing two balls at random, the probability would be:

the number of ways of choosing one red ball and one white ball / the number of ways of choosing any two balls

There are 8 white balls and 3 red balls, so there will be 8 x 3 = 24 combinations of choosing one of each.

The number of ways of choosing 2 balls from a set of 11 balls in total is ₁₁C₂ = 55.

Thus the probability is 24 / 55