Responses
Show that P(A and B)=P(A)P(B).
Show that 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 B right parenthesis End Fraction .
Show that P(A and B)=P(B)P(A).
Show that upper P left parenthesis upper A and upper B right parenthesis equals Start Fraction upper P left parenthesis upper B right parenthesis over upper P left parenthesis upper A right parenthesis End Fraction .
Show that P(A and B)=P(A)⋅P(B).
Show that 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 .
Show that P(A and B)=P(A)+P(B).
1 answer
To determine if the outcome of two events A and B is independent, you should use the following criterion:
Show that P(A and B) = P(A) * P(B).
This equation confirms that the probability of both events occurring together is the product of their individual probabilities, a key characteristic of independent events.
So, the correct response is: Show that P(A and B) = P(A) * P(B).
