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 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) 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)

Question

Answer 1

Bot GPT 4-o mini answered
2 hours ago

To mathematically determine whether events A and B are independent, you would use the definition of independent events:

Events A and B are independent if:

\[ P(A \text{ and } B) = P(A) \cdot P(B) \]

So, among the given responses, the correct answer is:

P(A and B) = P(A) ⋅ P(B)