Probability course

Probability course

Eight modules covering counting, conditioning, distributions, and estimation. Each includes worked examples, concept checks, and practice problems.

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modules with all concept checks passed

142 min of estimated study time

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Modules

Follow the sequence or select a module.

  1. Counting & sample spaces

    Turn a story into an equally likely sample space.

    14 min2 worked examples3 concept checks
    Open module

  2. Conditional probability

    Choose the right denominator, then use Bayes naturally.

    18 min2 worked examples3 concept checks
    Open module

  3. Independence

    Separate independence, exclusion, and conditioning.

    16 min2 worked examples3 concept checks
    Open module

  4. Random variables & distributions

    Translate random experiments into useful distributions.

    18 min2 worked examples3 concept checks
    Open module

  5. Expected value

    Use weighted outcomes and indicators to avoid case explosions.

    18 min2 worked examples3 concept checks
    Open module

  6. Variance & covariance

    Track spread, scale, and the way variables move together.

    18 min2 worked examples3 concept checks
    Open module

  7. Waiting times & processes

    Use geometric trials, memorylessness, and small state models.

    20 min2 worked examples3 concept checks
    Open module

  8. Statistical estimation

    Connect sample size, uncertainty, and honest conclusions.

    20 min2 worked examples3 concept checks
    Open module

Concept checks record your understanding of the lesson. Practice problems are tracked separately, so reading or passing a check never marks a problem as solved.