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Mathematics · Grade 10

Probability and Random Variables

Learners build the probability tools that inference relies on: the addition and multiplication rules, conditional probability, independence and tree diagrams; discrete random variables with their means and standard deviations; binomial and geometric settings; and simulation as a way to estimate probabilities. An optional honors lesson reverses conditional probabilities with natural frequencies.

  • 5 lessons
  • About 150 minutes
  • Probability and random variables check: 11 questions
  • Ways to answer: choose an answer, type a number, put in order, sort into groups, true or false and write a short answer
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What learners will discover

  • Apply the addition and multiplication rules, conditional probability, independence and tree diagrams.
  • Describe discrete random variables with probability distributions, means (expected values) and standard deviations.
  • Recognize binomial and geometric settings and compute their probabilities, means and standard deviations.
  • Design and interpret simulations that estimate probabilities.

Lessons

  1. Probability rules and tree diagrams 5 steps3 practiceabout 36 min
  2. Discrete random variables 5 steps3 practiceabout 32 min
  3. Binomial and geometric settings 6 steps4 practiceabout 38 min
  4. Simulation 4 steps2 practiceabout 26 min
  5. Going further (honors): reversing conditional probabilities 3 steps1 practiceabout 18 min
  6. Probability and random variables check 11 questions at the end

Keep exploring

More 10th grade math

Guide for grown-ups