document.write( "Question 980568: P(A or B) =1/4, P(A)=1/7, and P(AandB)=1/9, FindP(B) \n" ); document.write( "
Algebra.Com's Answer #601712 by jim_thompson5910(35256)\"\" \"About 
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Let x = P(B)\r
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\n" ); document.write( "\n" ); document.write( "P(A or B) = P(A) + P(B) - P(A and B)\r
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\n" ); document.write( "\n" ); document.write( "1/9 = 1/7 + x - 1/9\r
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\n" ); document.write( "\n" ); document.write( "1/9 + 1/9 = 1/7 + x - 1/9 + 1/9 ... Add 1/9 to both sides\r
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\n" ); document.write( "\n" ); document.write( "2/9 = 1/7 + x\r
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\n" ); document.write( "\n" ); document.write( "x + 1/7 = 2/9\r
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\n" ); document.write( "\n" ); document.write( "x + 1/7 - 1/7 = 2/9 - 1/7 ... Subtract 1/7 from both sides.\r
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\n" ); document.write( "\n" ); document.write( "x = 2/9 - 1/7\r
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\n" ); document.write( "\n" ); document.write( "x = 14/63 - 9/63\r
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\n" ); document.write( "\n" ); document.write( "x = 5/63\r
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\n" ); document.write( "\n" ); document.write( "So, P(B) = 5/63
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