MathLiveMultiplication theorem (probability)
Gives the probability that two events both occur as the probability of the first event times the conditional probability of the second given the first. It is used whenever joint probabilities are computed from conditional ones.
P(A \cap B) = P(A)\,P(B \mid A)What the symbols mean
| probability that both events A and B occur | |
| probability of event A | |
| conditional probability of event B given that A has occurred |
About this formula
- FieldStatistics
- TopicProbability rules
- LevelHigh school
- Also calledmultiplication rule, product rule for probability, conditional probability multiplication, probability of intersection, joint probability formula, P(A and B)
Write it in Obsidian
MathLive is a free visual math editor for Obsidian. Run Find a formula, type “multiplication theorem (probability)”, and it goes into your note as editable LaTeX. You can also scan formulas from screenshots, PDFs and handwriting.