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10 questions from this quiz
The probability of A given B
Given or knowing that
13\frac{1}{3}31
No, order matters in conditional probability
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 \mid B) \times \text{Pr}(B)Pr(A∩B)=Pr(A∣B)×Pr(B)
Multiply along, add across
0.280.280.28
Pr(A)=Pr(A∣B)Pr(B)+Pr(A∣B′)Pr(B′)\text{Pr}(A) = \text{Pr}(A \mid B)\text{Pr}(B) + \text{Pr}(A \mid B')\text{Pr}(B')Pr(A)=Pr(A∣B)Pr(B)+Pr(A∣B′)Pr(B′)
23\frac{2}{3}32
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