**You are on a chess team made up of 15 players. What is the probability that you will be chosen if a 3-person team is selected at random?**

Combinations of n Objects Taken r at a Time:

- The number of combinations of r objects taken from a group of n distinct objects is denoted by nCr and is given by the formula:
- nCr =

**Step 1:** Find all combinations

15C3 =

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r=3

**Step 2:** Find combination that you are part of

n=14 14C2 =

r=2

**Step 3:** Calculate Probability

\frac{3}{15} = \frac{1}{5}$