Mike is giving roses to some children at a carnival. He has 7 red roses, 8 yellow roses, and 9 white roses. If Mike selects a rose randomly without looking, what is the probability that he will give a white rose to the first child and then a yellow rose to the second child?

The probability, in simplest form, is 3/23.

There are 9+8+7=24 roses. The probability of drawing a white rose first is 9/24. The probability of then drawing a yellow rose is 8/23, as one of the roses is gone. The total probability is 9/24 (8/23) = 72/552 which then simplifies to 3/23.