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. * 2 points 9/21 2/15 1/3 4/21
To calculate the probability of selecting two lilies out of the total number of flowers in the vase, we need to consider that there are a total of 8 lilies, 9 roses, and 4 daisies in the vase.
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 (number of lilies) / 21 (total number of flowers) = 8/21
After selecting the first lily, there are now 7 lilies remaining out of a total of 20 flowers, so the probability of selecting the second lily is:
7 (remaining lilies) / 20 (remaining flowers) = 7/20
Therefore, the overall probability of selecting two lilies is the product of the individual probabilities:
(8/21) * (7/20) = 56/420 = 14/105
So, the probability of selecting two lilies is 14/105, which is equivalent to answer choice 2/15.