A big flower vase has 5 begonias, 6 carnations, and 7 tulips. two flowers are randomly selected without replacement what is the probability of selecting two carnations?

Answer 1

First, we need to calculate the total number of ways to select 2 flowers out of the 18 flowers in the vase:

18 choose 2 = 18! / (2! * 16!) = 153

Next, we need to calculate the number of ways to select 2 carnations out of the 6 carnations:

6 choose 2 = 6! / (2! * 4!) = 15

Finally, we can calculate the probability of selecting 2 carnations by dividing the number of ways to select 2 carnations by the total number of ways to select 2 flowers:

15 / 153 = 0.098 (rounded to three decimal places)

Therefore, the probability of selecting two carnations from the vase is approximately 0.098.