Question

A jar contains jelly beans. There are

7
7 red jelly beans,
9
9 blue jelly beans and
7
7 green jelly beans. You randomly take two jelly beans out to eat. What is the probability that both are blue? Write your answer as a fraction. You do not need to simplify.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The total number of jelly beans is $7+9+7=23$, so there are a total of $\binom{23}{2}=253$ pairs of jelly beans that can be chosen. Since we want both to be blue, we can choose 2 blue jelly beans in $\binom92=36$ ways. So the probability that both jelly beans are blue is $\dfrac{36}{253}$. The probability as a fraction is $\boxed{\frac{36}{253}}$.