document.write( "Question 1194556: At a raffle, 2000 tickets are sold at $3 each for four prizes of $600, $250, $200, and $80. You buy one tickets.
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Algebra.Com's Answer #826784 by ikleyn(52866)\"\" \"About 
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\n" ); document.write( "At a raffle, 2000 tickets are sold at $3 each for four prizes of $600, $250, $200, and $80. You buy one tickets.
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\n" ); document.write( "C) is this a fair game? Explain.
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document.write( "Bying one ticket, you have \r\n" );
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document.write( "    - the probability of  \"1%2F2000\"  to win $600,  or\r\n" );
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document.write( "    - the probability of  \"1%2F2000\"  to win $250,  or\r\n" );
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document.write( "    - the probability of  \"1%2F2000\"  to win $200,  or\r\n" );
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document.write( "    - the probability of  \"1%2F2000\"  to win  $80.\r\n" );
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document.write( "The expected value is then  E = \"600%2F2000+%2B+250%2F2000+%2B+200%2F600+%2B+80%2F2000\" = \"%28600%2B250%2B200%2B80%29%2F2000\" = \"1130%2F2000\" = 0.565  dollars.\r\n" );
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document.write( "Paying #3 for each ticket, the expected value of the game is  $0.565 - $3 = -$2.435.\r\n" );
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document.write( "In other words, playing many times, the gamer loses $2.435 in any game, in average.\r\n" );
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document.write( "The game is unfair.\r\n" );
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