A big flower vase has 8 lilies, 9 roses, and 4 daisies. Two flowers are randomly selected without replacement. What is the probability of selecting two lilies? Express the answer in the simplest form of fraction.

Question

9/21
2/15
1/3
4/21

Answer 1

The total number of flowers in the vase is 8 lilies + 9 roses + 4 daisies = 21 flowers.

The probability of selecting the first lily is 8/21 (since there are 8 lilies out of 21 total flowers).

After selecting one lily, there are 20 flowers remaining, including 7 lilies out of 20 flowers.

So, the probability of selecting the second lily is 7/20.

Therefore, the probability of selecting two lilies is (8/21) * (7/20) = 56/420 = 14/105.

Therefore, the probability of selecting two lilies is 14/105, and in simplest form, it would be 2/15.

Therefore, the correct answer is 2/15.