Assume you are taking two courses this semester A and B the

Assume you are taking two courses this semester (A and B). the probability that you will pass course A is .835, the probability you will pass both courses is .276. the probability that you will pass atleast one of the courses is .981

A. What is the probability that you will pass course b?

B.Is the passing of the two courses independent events? use probability information to justify your answer.

C. Are the events of passing the courses mutually exclusive? Explain

Solution

A. What is the probability that you will pass course b?
P(A) = 0.835
P( A n B) = 0.276
P( A OR B) = 0.981

P(B) = P(A OR B) - P(A) + P(A n B) = 0.981 - 0.835 + 0.276 = 0.422

B.Is the passing of the two courses independent events? use probability information to justify your answer.
No, P(A n B) != P(A) * P(B)

P(A) * P(B) = 0.422* 0.835 = 0.35237
P( A n B) = 0.276

C. Are the events of passing the courses mutually exclusive? Explain
P(A n B) ! =0 , it\'s nt mutually exclusive events