Subjects › Probability & Statistics

Conditional probability

P(A|B), Bayes' theorem, and base rates.

The idea

Base-rate neglect is so robust it survives explicit teaching. The reliable cure is natural frequencies: 1,000 people, not 0.001 probabilities.

Lesson

No lesson built yet. The worked solutions below are the material it would be assembled from.

Questions (3)

Question Type Difficulty Drift Accuracy
In a class, 60% study French and 25% study both French and Spanish. Given that a student studies French, what … numeric Moderate 0.20 — — (0)
A test for a disease is 99% accurate in both directions. The disease affects 1 in 1,000 people. You test posit… mcq Hard 1.00 — — (0)
Explain in your own words why P(A|B) and P(B|A) are usually different. Give a concrete example where confusing… short Very hard 1.60 — — (0)