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 express your answer in the simplest form of a fraction

Answer 1

First, we need to find the total number of ways to choose 2 flowers from the vase.

Total number of flowers in the vase = 5 (begonias) + 6 (carnations) + 7 (tulips) = 18

Number of ways to choose 2 flowers from 18 = 18C2 = (18*17)/(2*1) = 153

Now, let's find the number of ways to choose 2 carnations from 6 carnations.

Number of ways to choose 2 carnations from 6 = 6C2 = (6*5)/(2*1) = 15

Therefore, the probability of selecting two carnations is 15/153 = 5/51.

So, the answer in the simplest form of a fraction is 5/51.