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 the Answer in the simplest form of a fraction.

Answer 1

To find the probability of selecting two carnations, we first need to find the total number of ways to choose 2 flowers out of the 18 total flowers in the vase.

Total number of ways to choose 2 flowers out of 18 = 18C2 = 153

Next, we need to find the number of ways to select 2 carnations out of the 6 carnations in the vase.

Number of ways to choose 2 carnations out of 6 = 6C2 = 15

Therefore, the probability of selecting two carnations is:

Probability = Number of ways to choose 2 carnations / Total number of ways to choose 2 flowers
Probability = 15/153
Probability = 5/51

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