document.write( "Question 1182451: Let A and B be events with P(A)=1/2, P(B)=1/3 and P(A∩B)=1/4. Find
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Algebra.Com's Answer #812459 by ikleyn(52814)\"\" \"About 
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\n" ); document.write( "Let A and B be events with P(A)=1/2, P(B)=1/3 and P(A∩B)=1/4. Find
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document.write( "(i)    P(A|B) = P(A∩B)/P(B) = \"%28%281%2F4%29%29%2F%28%281%2F3%29%29\" = \"3%2F4\".\r\n" );
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document.write( "(ii)   P(B|A) = P(A∩B)/P(A) = \"%28%281%2F4%29%29%2F%28%281%2F2%29%29\" = \"2%2F4\" = \"1%2F2\".\r\n" );
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document.write( "(iii)  P(AUB) = P(A) + P(B) - P(A∩B) = \"1%2F2\" + \"1%2F3\" - \"1%2F4\" = \"6%2F12+%2B+4%2F12+-+3%2F12\" = \"7%2F12\".\r\n" );
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document.write( "(iv)  P(A'|B') = P(A'∩B')/P(B') = (1-P(AUB))/(1-P(B)) = \"%28%281-7%2F12%29%29%2F%28%281-1%2F3%29%29\" = \"%28%285%2F12%29%29%2F%28%282%2F3%29%29\" = \"15%2F24\"= \"5%2F8\".\r\n" );
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