document.write( "Question 861169: Hi,
\n" ); document.write( "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\r
\n" ); document.write( "\n" ); document.write( "Use the given value to find the following. (Enter your answers as fractions.)
\n" ); document.write( "P(A) = 0.3, P(B) = 0.4, P(A ∪ B) = 0.6
\n" ); document.write( "(a) P(A given B)
\n" ); document.write( "(b) P(B given A)
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Algebra.Com's Answer #519086 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
You need to find P(A intersection B).
\n" ); document.write( " P(A U B)=P(A)+P(B)-P(A int B)
\n" ); document.write( "0.6=0.3+0.4-P(A int B)
\n" ); document.write( "0.6=0.7-P(A int B)
\n" ); document.write( "P(A int B)=0.1
\n" ); document.write( "So now looking at the conditional probabilities,
\n" ); document.write( "P(A|B)=P (A int B)/P(B)=0.1/0.4=1/4
\n" ); document.write( "P(B|A)=P(A int B)/P(A)=0.1/0.3=1/3
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