A big flower vase has 5 begonias, 6 carnations, and 7 tulips. Two flowers are randomly selected without replacement What is the probability of selecting two camations? Express the answer in the simplest form of fraction.
The total number of flowers in the vase is 5+6+7 = 18.
There are a total of 6 carnations out of 18 flowers, so the probability of selecting the first carnation is 6/18.
After selecting the first carnation, there are 5 carnations left out of 17 flowers, so the probability of selecting the second carnation is 5/17.
Therefore, the probability of selecting two carnations is (6/18) * (5/17) = 30/306 = 5/51.
So, the probability of selecting two carnations is 5/51.