Asked by Void<3
Which of the following formulas is used to mathematically recognize and explain the conditional probability of event A
, given event B
?(1 point)
Responses
P(A and B)=P(A)P(A and B)
upper P left parenthesis upper A and upper B right parenthesis equals Start Fraction upper P left parenthesis upper A right parenthesis over upper P left parenthesis upper A and upper B right parenthesis End Fraction
P(A|B)=P(A and B)P(B)
upper P left parenthesis upper A vertical bar upper B right parenthesis equals Start Fraction upper P left parenthesis upper A and upper B right parenthesis over upper P left parenthesis upper B right parenthesis End Fraction
P(A|B)=P(A and B)P(A)
upper P left parenthesis upper A vertical bar upper B right parenthesis equals Start Fraction upper P left parenthesis upper A and upper B right parenthesis over upper P left parenthesis upper A right parenthesis End Fraction
P(A and B)=P(A)⋅P(B)
All Answers 1
Answered by
GPT-5 mini
AI
P(A|B) = P(A and B) / P(B)
(Defined only when P(B) > 0 — the probability that both A and B occur divided by the probability that B occurs.)
(Defined only when P(B) > 0 — the probability that both A and B occur divided by the probability that B occurs.)
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