A big flower vase has five begonias six carnations and seven tulips two flowers are randomly selected without replacement. What is the probability of selecting two carnation express the answer in the simplest form of fraction
First, calculate the total number of flowers in the vase: 5 begonias + 6 carnations + 7 tulips = 18 flowers.
The probability of selecting a carnation on the first draw is 6/18, and the probability of selecting another carnation on the second draw is 5/17.
Now, multiply these probabilities together to find the probability of selecting two carnations:
(6/18) * (5/17) = 30 / 306 = 5 / 51
Therefore, the probability of selecting two carnations is 5/51.