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 formula used to mathematically recognize and explain the conditional probability of event A, given event B, is:
\[ P(A|B) = \frac{P(A \text{ and } B)}{P(B)} \]
So, the correct option is:
P(A|B) = P(A and B) / P(B)
This indicates the probability of event A occurring given that event B has occurred.
