MathematicsHigh School

Conditional probability and the total probability formula

Probability given a condition

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P(B\mid A) = \frac{P(AB)}{P(A)},\qquad P(A)>0

P(B) = \sum_{i=1}^{n} P(A_i)\,P(B\mid A_i)

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Practice setConditional probability practice

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