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 carnations? Express in the simplest form of fraction.

1 answer

The total number of flowers in the vase is 5 + 6 + 7 = 18.

The probability of selecting a carnation on the first draw is 6/18 = 1/3.

After selecting a carnation, there are 17 flowers left in the vase, with 5 carnations remaining.

The probability of selecting a carnation on the second draw is 5/17.

Therefore, the probability of selecting two carnations is (1/3) * (5/17) = 5/51.

So, the probability of selecting two carnations is 5/51.