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10 cards from this deck
Prob. of event A when event B has already occurred
The probability of AAA given BBB
Pr(A∣B)=Pr(A∩B)Pr(B)\text{Pr}(A \mid B) = \frac{\text{Pr}(A \cap B)}{\text{Pr}(B)}Pr(A∣B)=Pr(B)Pr(A∩B)
Pr(A∩B)=Pr(A∣B)×Pr(B)\text{Pr}(A \cap B) = \text{Pr}(A \mid B) \times \text{Pr}(B)Pr(A∩B)=Pr(A∣B)×Pr(B)
One event occurring doesn't change prob. of the other
Pr(A∩B)=Pr(A)×Pr(B)\text{Pr}(A \cap B) = \text{Pr}(A) \times \text{Pr}(B)Pr(A∩B)=Pr(A)×Pr(B)
Pr(A)\text{Pr}(A)Pr(A) summed over all partitions of BBB
Multiply probabilities along the branches
Pr(A)\text{Pr}(A)Pr(A)
Calculate directly from relevant rows/columns
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