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10 questions from this quiz
Pr of AAA given BBB has occurred
Two coin tosses
Pr(A∩B)Pr(B)\frac{\text{Pr}(A \cap B)}{\text{Pr}(B)}Pr(B)Pr(A∩B)
Pr(A∩B)=Pr(A∣B)Pr(B)\text{Pr}(A \cap B)=\text{Pr}(A|B)\text{Pr}(B)Pr(A∩B)=Pr(A∣B)Pr(B)
Multiply probabilities along the branches
Pr(A)=Pr(A∣B)Pr(B)+Pr(A∣B′)Pr(B′)\text{Pr}(A)=\text{Pr}(A|B)\text{Pr}(B)+\text{Pr}(A|B')\text{Pr}(B')Pr(A)=Pr(A∣B)Pr(B)+Pr(A∣B′)Pr(B′)
Can calculate directly without formula
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)
0.280.280.28
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