document.write( "Question 1203571: Suppose P(Ai) = 1/(3 + i) for ¡ = 1, 2, 3, 4. Find an upper bound for P(A1 u A2 u A3 u A4) \n" ); document.write( "

Algebra.Com's Answer #839228 by ikleyn(52824) $\"\"$ $\"About$

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\n" ); document.write( "Suppose P(Ai) = 1/(3 + i) for ¡ = 1, 2, 3, 4. Find an upper bound for P(A1 u A2 u A3 u A4)
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document.write( "We are given P(A1) = ,  P(A2) = ,  P(A3) = ,  P(A4) = , according to the formula.\r\n" );
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document.write( "The problem asks to find the upper bound for P(A1 U A2 U A3 U A4).\r\n" );
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document.write( "It is obvious that the value  P(A1 U A2 U A3 U A4)  is maximum when all events A1, A2, A3, A4 are disjoint\r\n" );
document.write( "(= are mutually exclusive). Then\r\n" );
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document.write( "    P(A1 U A2 U A3 U A4) =  +  +  +  =  = .\r\n" );
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document.write( "ANSWER.  The upper bound is .\r\n" );
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