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Conditional Probability and Bayes

by Anonymous

Add a condition and watch the denominator shrink out of 100, then trace the probability tree backward to see whether a positive test really means disease.

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About this app

An interactive high-school probability lesson on conditional probability and Bayes' theorem. Explore how conditioning changes the denominator, calculate branch probabilities by multiplying along a probability tree, and work backward from a positive medical test to estimate the chance of true illness.

Use cases

  • High-school students studying probability and statistics
  • Teachers demonstrating conditional probability visually
  • Learners practicing multiplication and total-probability rules
  • Anyone exploring false positives and Bayes' theorem

Features

  • Interactive area model showing how β€œgiven A” changes the sample space
  • Adjustable A, B-inside-A, and B-outside-A proportions
  • Probability tree with adjustable P(A), P(B|A), and P(B|Aᢜ)
  • Bayes panel with adjustable prevalence, sensitivity, and specificity
  • Guided missions with reset and next controls