document.write( "Question 1166589: In a state's Pick 3 lottery game, you pay $0.86 to select a sequence of
\n" ); document.write( "three digits (from 0 to 9), such as 977. If you select the same sequence of
\n" ); document.write( "three digits that are drawn, you win and collect $301.25. Answer the
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Algebra.Com's Answer #791099 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The numbers 000, 001, 002, ..., 999 is 1000 possibilities. \r\n" );
document.write( "My probability of choosing the right sequence from those is 1/1000 or 0.001\r\n" );
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document.write( "Winning or loss   probability            Expectation\r\n" );
document.write( "   $300.39            0.001        $300.39(0.001)=$0.30039 <--expected win\r\n" );
document.write( "  -$  0.86            0.999       -$  0.86(0.999)=$0.85914 <--expected loss\r\n" );
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document.write( "                                Total expectation=-$0.55875\r\n" );
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document.write( "You can expect to average losing about 56 cents per play if\r\n" );
document.write( "you play many times.   When you lose 999 times and win 1 time\r\n" );
document.write( "it'll only reimburse you for $301.25 of the $860 you've paid \r\n" );
document.write( "to play.\r\n" );
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document.write( "Edwin
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