document.write( "Question 1124606: Let A and B be events with P(A)=1/3, P(B)=1/4 and P(AUB)=1/2. Find the P(A ∩ B' ). \n" ); document.write( "

Algebra.Com's Answer #740944 by ikleyn(52814) $\"\"$ $\"About$

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document.write( "You may consider A and B as the subsets of the universal set U.\r\n" );
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document.write( "Then  (A ∩ B') = A \ (A ∩ B).       ( Elements of A that are not in B ) \r\n" );
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document.write( "                                     The sign \" \ \" means subtraction of sets )\r\n" );
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document.write( "Therefore, you need first to find  P(A ∩ B)  and  then subtract it from P(A).\r\n" );
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document.write( "    Step 1.   P((A ∩ B) = P(A) + P(B) - P(AUB) =  +  -  =  = .\r\n" );
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document.write( "    Step 2.   P(A ∩ B') = P(A \ (A ∩ B)) = P(A) - P((A ∩ B) =  -  =  -  =  = .\r\n" );
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document.write( "Answer.  P(A ∩ B') = \r\n" );
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