A big flower vase has 9 lilys, 7 daisies, and 3 sunflowers. Two flowers are randomly selected without replacement. What is the probability of selecting daisies?
A. 7/57
B. 42/57
C. 14/57
D. 45/57
First, we need to calculate the total number of ways we can choose 2 flowers out of the 19 flowers in the vase. This can be calculated using combinations, which gives us 19C2 = 171.
Next, we need to calculate the total number of ways we can choose 2 daisies out of the 7 available daisies. This can be calculated using combinations as well, which is 7C2 = 21.
Therefore, the probability of selecting daisies is 21/171 = 7/57.
So, the answer is:
A. 7/57