SOLUTION: Hi, I will appreciate any help you can give me with this equation and please show me how you received the answer. Maybe I will understand someone else, because I don't understand

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Question 861169: Hi,
I will appreciate any help you can give me with this equation and please show me how you received the answer. Maybe I will understand someone else, because I don't understand the book. Thanks in advance
Use the given value to find the following. (Enter your answers as fractions.)
P(A) = 0.3, P(B) = 0.4, P(A ∪ B) = 0.6
(a) P(A given B)
(b) P(B given A)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You need to find P(A intersection B).
P(A U B)=P(A)+P(B)-P(A int B)
0.6=0.3+0.4-P(A int B)
0.6=0.7-P(A int B)
P(A int B)=0.1
So now looking at the conditional probabilities,
P(A|B)=P (A int B)/P(B)=0.1/0.4=1/4
P(B|A)=P(A int B)/P(A)=0.1/0.3=1/3