document.write( "Question 1177192: Show that two events A and B are independent if and only if P(A ∩ B) = P(A)P(B) when
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document.write( "at least one of P(A) or P(B) is not zero\r
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document.write( "thank you :) \n" );
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Algebra.Com's Answer #851946 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The problem's formulation is INCORRECT.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The DEFINITION of independence of two events is THIS:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Two events, A and B, are called independent if and only if\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " P(A intersection B) = P(A)*P(B)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " without any other restrictions on P(A) and/or P(B).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "As you brought this problem to the forum as it is in the post, \n" ); document.write( "it means that you copy-pasted it from a bad source, which is anti-pedagogic.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |