SOLUTION: Suppose that E and F are two mutually exclusive events with the following probabilities: P(A)=0.47 and P(A or B)=0.53 a) What is the probability of event B? b) Are the event

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose that E and F are two mutually exclusive events with the following probabilities: P(A)=0.47 and P(A or B)=0.53 a) What is the probability of event B? b) Are the event      Log On


   

Question 873612: Suppose that E and F are two mutually exclusive events with the following probabilities: P(A)=0.47 and P(A or B)=0.53
a) What is the probability of event B?
b) Are the events A and B independent?
Could you explain this questions when you answer them. Don't understand.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Mutually exclusive means they can't happen at the same time and
P%28A_or_B%29=P%28A%29%2BP%28B%29
In this case,
0.53=0.47%2BP%28B%29
P%28B%29=0.06
.
.
.
If two events are independent, then
P%28A_and_B%29=P%28A%29%2AP%28B%29
However in this case, since they're mutually exclusive,
P%28A_and_B%29=0
So,
0%3C%3E0.43%280.06%29
So they are not independent.