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Conditional Probability
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Total cards: 3•Content version: v4•Public deck•Updated: 8/1/2026
Card preview (3)
#1
Front (Question)
Conditional probability
Back (Answer)
Let A and B be the two events: –> P(B) > 0 The conditional probability of A given B is defined by P(A|B) = P(A∩B) / P(B)
#2
Front (Question)
Remarks of conditional probability
Back (Answer)
–> The roles of A and B are different: A: conditioned event B: conditioning event –> In general P(A|B) != P(B|A) –> P(A°|B) = 1 - P(A|B) –> P(A1 U A2|B) = P(A1|B) + P(A2|B)
#3
Front (Question)
Properties of conditional probability
Back (Answer)
1) P(A∩B) = P(A|B)*P(B) 2) P(A)=P(A∩B) + P(A∩B°) P(A)= (P(A|B)P(B)) + (P(A|B°)P(B°)) Total probability P(A) = Σ P(A|Bk) * P(Bk) 3) Bayes Formula P(B|A)= ( P(A|B)*P(B) ) / P(A)