Question

A vase has 3 red roses, 4 pink roses, and 5 white roses. Another vase has 2 red roses, 2 pink roses, and 2 white roses. If one rose is to be selected at random from each vase, what is the probability that both roses will be the same color

Answer 1

11/36 is the probability that both roses will be the same color in general

Answer 2

The probability that both roses are red 1/12.

The probability that both roses are pink is 1/9.

The probability that both roses are white is 5/36.

Adding these probabilities together, we get 11/36.

So the probability that both roses will be the same color is 11/36.

Explanation: