Guides ยท Math
Bayes Theorem Intuition Basics
Update beliefs with simple Bayes
This guide builds intuition for Bayes' theorem: start with base rates, weigh how likely evidence is under different hypotheses, and update your belief using simple ratio thinking.
- bayes theorem
- base rates
- likelihood
- posterior
- probability
Start with base rates
Note how common the thing is before new evidence arrives.
Consider likelihoods
Ask how likely the evidence is if the hypothesis is true vs false.
Update simply
Posterior ? prior ? likelihood; use ratio thinking rather than exact formulas when possible.
Watch common traps
Beware ignoring base rates, over-trusting tests with false positives, and mixing up P(A|B) with P(B|A).
Keep Exploring
Guides
Interpreting Statistics
Statistics become more useful when you read averages, spread, sample size, and uncertainty together instead of in isolation.
Why it matters
Numeracy
Numeracy is the practical ability to read numbers, compare claims, and make better everyday decisions.
Guides
Mental Math Techniques
Mental math gets easier when you break numbers apart, round strategically, and reuse familiar patterns.
Guides
Understanding Probabilities
Probability becomes more intuitive once independence, uncertainty, and expected value are tied to real decisions.