Let A and B be events with P(A)=0.8, P (B)=0.4, and P(A or B)=0.9. (a) Compute P (A and B). (b) Are A and B mutually exclusive? Explain. (c) Are A and B independent? Explain.

Q: (P(A) = 0.80, P(B ) = 0.70, P(A&B)= 0.56 Which pair of events are independent?

A: The given probabilities are PA=0.80,PB=0.70,PA&B=0.56.

Q: P(A) =0.3 and P(A or B) =0.7, then what is P(B)  if events A and B are independent events?

A:

Q: Let A and B be events with =P(A)= 0.2, P(B)=, 0.88, and P(B|A)=0.6.…

A:

Q: Let A and B be events with P(A)=0.4 and P(B)= 0.6 and P (A and B) =0.2 . (a) Are A and B…

A: Two events A and B are independent if the probability of both events occurring is the product of the…

Q: Given P(A)=0.31, P(B)=0.49 and P(A or B)=0.78, are events A and B mutually exclusive

A: According to the given information, we have P(A) = 0.31 P(B) = 0.49 P(A or B) = 0.78

Q: Anthony surveys a group of students at his school about whether they play a sport. This table shows…

A: It is a problem of conditional probability where we have to find whether two events are independent…