conditional probability, independence of events

Since P(A | B) ≠ P(A), the occurrence of event B the probability that event A will occur. This implies that A and B are not independent events.

If P(A|B)=0.1, P(A)=0.09, thus events A and B are___ If P(C|D)=0.3, P(D)=0.3, thus events C and D are___A.not independentindependentB.independentnot independentC.independentindependentD.not independentnot independent

Given two events, A and B, if the probability of A is 0.7, the probability of B is 0.3, and the joint probability of A and B is 0.21, then the two events are independent?Select one:a.True.b.False.

Conditional distribution

Which of the following statements are true? Mark all that apply.If A and B are independent events, then the probability of Event B occurring is the same whether or not Event A occurs.If events A and B are independent, then P(A and B) = P(A) + P(B)If P(A) is the probability that event A will occur, then the probability event A will NOT occur is 1 - P(A).Two events are independent if they cannot occur at the same time.If events A and B are overlapping, then P(A or B) = P(A) + P(B) - P(A and B)