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.
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2 points
9/21
2/15
1/3
4/21
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.
After selecting the first lily, there are only 7 lilies left and a total of 20 flowers remaining.
The probability of selecting the second lily, given that the first one was a lily, is 7/20.
Therefore, the overall probability of selecting two lilies is (8/21) * (7/20) = 56/420 = 14/105.
So, the simplest form of the fraction representing the probability of selecting two lilies is 14/105.
pick one
9/21
2/15
1/3
4/21