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## Statistics and probability

### Course: Statistics and probability>Unit 7

Lesson 5: Randomness, probability, and simulation

# Interpret results of simulations

AP.STATS: UNC‑2 (EU), UNC‑2.A (LO), UNC‑2.A.4 (EK), UNC‑2.A.5 (EK) CCSS.Math: HSS.IC.B.5

## Problem

The probability that Maria succeeds at any given free-throw is 75, percent. She was curious how many free-throws she can expect to succeed in a sample of 10 free-throws.
She simulated 25 samples of 10 free-throws where each free-throw had a 0, point, 75 probability of being a success.
Maria counted how many free-throws were successes in each simulated sample. Here are her results:
Use her results to estimate the probability that she succeeds at fewer than 7 free-throws in a sample of 10 free-throws.