SOLUTION: Suppose A and B are events where P(A)=0.4, P(B)=0.5, and P(A and B)=0.1. So, P(B|A)=? P(A|B)=? P(A or B)=? (if A and B are independent) And why?

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose A and B are events where P(A)=0.4, P(B)=0.5, and P(A and B)=0.1. So, P(B|A)=? P(A|B)=? P(A or B)=? (if A and B are independent) And why?      Log On


   

Question 748684: Suppose A and B are events where P(A)=0.4, P(B)=0.5, and P(A and B)=0.1. So,
P(B|A)=?
P(A|B)=?
P(A or B)=? (if A and B are independent)
And why?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose A and B are events where P(A)=0.4, P(B)=0.5, and P(A and B)=0.1. So,
P(B|A)= P(A and B)/P(A) = 0.1/0.4 = 1/4
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P(A|B)= P(A and B)/P(B) = 0.1/0.5 = 1/5
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P(A or B)= P(A)*P(B) (if A and B are independent)
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Cheers,
Stan H.