Your friend brings 15 chocolate cupcakes and 15 vanilla cupcakes to school. students will take turns picking a pair of cupcakes at random. what is the probability that the first student will pick 2 chocolate cupcakes?

Probability says that divide the required possible outcomes by the total number of  outcome.

As per the statement:

Your friend brings 15 chocolate cupcakes and 15 vanilla cupcakes to school.

We have to find the probability that the first student will pick 2 chocolate cupcakes.

Number of required possible outcomes =

Total number of outcomes =

by definition we have;

We know that:

⇒

Using the formula:

⇒

⇒

Simplify:

therefore, the probability that the first student will pick 2 chocolate cupcakes is,