If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Statistics and probability

Course: Statistics and probability > Unit 7

Lesson 5: Randomness, probability, and simulation
Math
Statistics and probability
Probability
Randomness, probability, and simulation
© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice

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
Google Classroom

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.
Give your answer as either a fraction or a decimal.
P, left parenthesis, start text, f, e, w, e, r, space, t, h, a, n, space, end text, 7, start text, space, s, u, c, c, e, s, s, e, s, end text, right parenthesis, approximately equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
Stuck?
Stuck?