Roses are shipped in packages of 9 roses, each containing 3 red roses and 6 white roses. a florist asks his color-blind assistant (who cannot tell the difference between red and white roses) to arrange two such packages into 3 bouquets, each containing 6 roses. since the assistant cannot distinguish red
from white, assume that all possible groupings of the 18 roses into groups of 6 are equally likely.
(a) what is the probability that the 3 bouquets produced by the assistant each contain exactly two red roses?
(b) what is the probability that any 2 of the 3 bouquets produced by the assistant contain the same number of red roses?