There are two events, A and B . How do you mathematically determine whether events A and B are independent?(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 minus upper P left parenthesis upper B right parenthesis 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(B) upper P left parenthesis upper A and upper B right parenthesis equals upper P left parenthesis upper A right parenthesis plus upper P left parenthesis upper B right parenthesis P(A and B)=P(A)P(B)
1 answer
To determine whether events A and B are independent, the correct mathematical relationship is:
\[ P(A \text{ and } B) = P(A) \cdot P(B) \]
Therefore, if the probability of both A and B occurring together equals the product of their individual probabilities, then A and B are independent events.
