document.write( "Question 1183051: A bag contains 1 gold marbles, 8 silver marbles, and 25 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $4. If it is silver, you win $2. If it is black, you lose $1.\r
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Algebra.Com's Answer #813204 by ikleyn(52835)\"\" \"About 
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\n" ); document.write( "A bag contains 1 gold marbles, 8 silver marbles, and 25 black marbles.
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document.write( "In all, there are  1 + 8 + 25 = 34  marbles in the bag.\r\n" );
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document.write( "The expected value of the game is\r\n" );
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document.write( "    E = \"4%2A%281%2F34%29+%2B+2%2A%288%2F34%29+-+1%2A%2825%2F34%29\" = \"%284+%2B+16+-+25%29%2F34\" = \"-5%2F34\"  of a dollar.\r\n" );
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document.write( "In other words, playing many times, you statistically lose \"5%2F34\" = 0.147 dollars per game, in average.\r\n" );
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