document.write( "Question 1166852: Consider the following scenario:
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document.write( "• Let P(C) = 0.4
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document.write( "• Let P(D) = 0.5
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document.write( "• Let P(C|D) = 0.6\r
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document.write( "Find P(C AND D).
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Algebra.Com's Answer #791407 by ikleyn(52835)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "By the definition of the CONDITIONAL PROBABILITY,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " P(C|D) = P(C AND D) / P(D).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, we have 0.6 = P(C AND D) / 0.5.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It implies P(C AND D) = 0.6*0.5 = 0.3. ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Notice that this info \" Let P(C) = 0.4 \" is excessive; it was not used in the solution, and therefore is IRRELEVANT to the problem.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |