document.write( "Question 1134124: Given two events A and B such that P(A) = 0.67, P(B)= 0.23 and P (A /intersection/ and B) = 0.12, find each probability.\r
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document.write( "A. P(A')
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document.write( "B. P(B')
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document.write( "C. P(A U B)
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document.write( "D. P(A U B)' \n" );
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Algebra.Com's Answer #751596 by ikleyn(52847)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Given two events A and B such that P(A) = 0.67, P(B)= 0.23 and P (A /intersection/ and B) = 0.12, find each probability.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "A. P(A') = 1 - P(A) = 1 - 0.67 = 0.33.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "B. P(B') = 1 - P(B) = 1 - 0.23 = 0.77.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "C. P(A U B) = P(A) + P(B) - P(A intersection B) = 0.67 + 0.23 - 0.12 = 0.78. <<<---=== it is VERY important formula,\r\n" ); document.write( "\r\n" ); document.write( " and those who know it, have a huge advantage comparing with those who do not know (!)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "D. P(A U B)' = 1 - P(A U B) = 1 - 0.78 = 0.22.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved. // All questions are answered.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |