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Get ready for Precalculus

Course: Get ready for Precalculus > Unit 8

Lesson 5: Randomness, probability, and simulation
Math
Get ready for Precalculus
Get ready for probability and combinatorics
Randomness, probability, and simulation
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Interpret results of simulations

Google Classroom

Problem

The probability that Maria succeeds at any given free-throw is 75%. 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 0.75 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(fewer than 7 successes)≈
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
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