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
\n" ); document.write( "at least one of P(A) or P(B) is not zero\r
\n" ); document.write( "\n" ); document.write( "thank you :)
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Algebra.Com's Answer #851946 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "The problem's formulation is  INCORRECT.\r
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\n" ); document.write( "\n" ); document.write( "The  DEFINITION  of independence of two events is  THIS:\r
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\n" ); document.write( "\n" ); document.write( "        Two events,  A  and  B,  are called independent if and only if\r
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\n" ); document.write( "\n" ); document.write( "                P(A intersection B) = P(A)*P(B)\r
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\n" ); document.write( "\n" ); document.write( "        without any other restrictions on  P(A)  and/or  P(B).\r
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\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
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