A big flower vase has 5 begomas, 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 fraction (1 point)

1 answer

To find the probability of selecting two carnations out of the total flowers, 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 flowers = 18C2 = (18*17)/(2*1) = 153 ways

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

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

Therefore, the probability of selecting 2 carnations out of the total flowers is:

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

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