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

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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)   (Show Source): You can put this solution on YOUR website!
Mutually exclusive means they can't happen at the same time and

In this case,


.
.
.
If two events are independent, then

However in this case, since they're mutually exclusive,

So,

So they are not independent.

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