Conditional ProbabilityProbability rescaled to the world in which one event has happened.MathematicsThe probability of A given B rescales the jointprobability to the world in which B has happened.P(A | B) = P(A ∩ B) / P(B), for P(B) > 0P(A∩B)=0.2, P(B)=0.5P(A | B) = 0.40.2 ÷ 0.5.A and B independentP(A | B) = P(A)B tells you nothing.Chain ruleP(A∩B) = P(A|B)P(B)The same line, rearranged.THE COMMON MISTAKEReading P(A | B) as though it were P(B | A)Keeping the conditioning event fixedP(rain | clouds) and P(clouds | rain) are very different numbers. Reversing theconditioning is the base-rate fallacy.Independence means P(A ∩ B) = P(A)P(B). Mutually exclusive eventsare not independent — knowing one occurred rules the other out.Conditional Probabilitylearnposters.com
Conditional Probability — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Conditional Probability poster

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

Independence means P(A ∩ B) = P(A)P(B). Mutually exclusive events are not independent — knowing one occurred rules the other out.

Questions about the Conditional Probability poster

What’s on the Conditional Probability poster?
The rule, 3 worked examples, and the mistake everyone makes. The probability of A given B rescales the joint probability to the world in which B h…; P(A | B) = P(A ∩ B) / P(B), for P(B) > 0; P(A∩B)=0.2, P(B)=0.5 = P(A | B) = 0.4; A and B independent = P(A | B) = P(A); Chain rule = P(A∩B) = P(A|B)P(B); Common mistake: Reading P(A | B) as though it were P(B | A) → Keeping the conditionin…. Independence means P(A ∩ B) = P(A)P(B). Mutually exclusive events are not independent — knowing one occurred rules the other out.
Who is the Conditional Probability poster for?
Conditional Probability 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 Conditional Probability poster?
Any problem where information arrives before the outcome you care about. A wall chart earns its place by being glanceable from where the work is happening, so Conditional Probability belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Conditional Probability?
Bayes' Theorem, Central Limit Theorem and Confidence Intervals sit alongside Conditional Probability in the Mathematics section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Bayes' TheoremCentral Limit TheoremConfidence Intervals
Is the Conditional Probability poster free to download and print?
Yes. Conditional Probability 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 Conditional Probability poster print at?
Conditional Probability 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 Conditional Probability loses nothing.Printing guide

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