Bayes' TheoremTurning a prior belief into a posterior one using the evidence.MathematicsBayes turns a prior into a posterior by weighting itwith the likelihood of the observed evidence.P(A | B) = P(B | A) P(A) / P(B)Prior P(A) = 0.01Posterior can stay lowThe base rate dominates.The denominator P(B)Σ P(B | Aᵢ) P(Aᵢ)Total probability.Odds formPrior odds × likelihood ratioOften the quicker route.THE COMMON MISTAKEReading the likelihood as the posteriorWeighting the likelihood by the priorA signal that is 99% accurate for an event affecting 1 in 10,000 still producesmostly false alarms. The base rate does most of the work.Posterior is proportional to likelihood times prior. The denominator onlynormalises, which is why the odds form is often quicker.Bayes' Theoremlearnposters.com
Bayes' Theorem — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Bayes' Theorem poster

The rule, 3 worked examples, and the mistake everyone makes.

Posterior is proportional to likelihood times prior. The denominator only normalises, which is why the odds form is often quicker.

Questions about the Bayes' Theorem poster

What’s on the Bayes' Theorem poster?
The rule, 3 worked examples, and the mistake everyone makes. Bayes turns a prior into a posterior by weighting it with the likelihood of the obser…; P(A | B) = P(B | A) P(A) / P(B); Prior P(A) = 0.01 = Posterior can stay low; The denominator P(B) = Σ P(B | Aᵢ) P(Aᵢ); Odds form = Prior odds × likelihood ratio; Common mistake: Reading the likelihood as the posterior → Weighting the likelihood by…. Posterior is proportional to likelihood times prior. The denominator only normalises, which is why the odds form is often quicker.
Who is the Bayes' Theorem poster for?
Bayes' Theorem belongs to the Mathematics section rather than to a school year, because math is not something one grade owns. Anyone learning probability & statistics can pin it up — a beginner, a student mid-course, or someone revising years later.
When should you use the Bayes' Theorem poster?
Whenever you know P(evidence given cause) and need P(cause given evidence). A wall chart earns its place by being glanceable from where the work is happening, so Bayes' Theorem belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Bayes' Theorem?
Central Limit Theorem, Conditional Probability and Confidence Intervals sit alongside Bayes' Theorem in the Mathematics section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Central Limit TheoremConditional ProbabilityConfidence Intervals
Is the Bayes' Theorem poster free to download and print?
Yes. Bayes' Theorem downloads as a free PDF with no account, no email and no watermark, like everything else in the Mathematics section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Bayes' Theorem poster print at?
Bayes' Theorem is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Bayes' Theorem loses nothing.Printing guide

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