There are: . possible outcomes.Three fair dice are rolled (1 Red, 1 Green, 1 Blue).
Find the probability that the largest number obtained is 5.
(There must be at least one 5 in every roll, but cannot have 6s).
How many has no 6s?
. . There are: . outcomes with no 6s.
Among these outcomes, how many have no 5s?
. . There are: . outcomes with no 5s and no 6s.
Hence, there are: . outcomes with some 5s and no 6s.