Provide an appropriate response.
-Classify the events as dependent or independent. Events A and B where P(A)= 0.8, P(B)= 0.8, and P(A and B)= 0.63
A)dependent
B)independent

Question

Quizplus · Accepted Answer

If two events A and B are independent, then P(A and B)=P(A) x P(B). However, in this case, P(A) x P(B)= 0.8 x 0.8= 0.64, which is not equal to P(A and B)=0.63. Therefore, the events are dependent. If events A and B were independent, the probability of both events occurring together would be P(A)*P(B) = 0.8*0.8 = 0.64 which is greater than P(A and B) = 0.63. Therefore, events A and B are dependent.

Provide an Appropriate Response