Question

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 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 plus upper P left parenthesis upper B right parenthesis

P(A and B)=P(A)P(B)

Answer 1

P(A and B) = P(A) · P(B)

(Equivalently, if P(B) > 0 then P(A|B) = P(A).)