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(B) upper P left parenthesis upper A and upper B right parenthesis equals upper P left parenthesis upper A right parenthesis times upper P left parenthesis upper B right parenthesis 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(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|B)=P(A and B)P(B)
1 answer
The correct formula to mathematically recognize and explain the conditional probability of event A, given event B, is:
\[ P(A|B) = \frac{P(A \text{ and } B)}{P(B)} \]
This formula states that the conditional probability of A given B, denoted as \( P(A|B) \), is equal to the probability of both A and B occurring divided by the probability of B occurring.
