document.write( "Question 1195583: A bag contains 3 gold marbles, 10 silver marbles, and 29 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 #828105 by ikleyn(52803)\"\" \"About 
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\n" ); document.write( "A bag contains 3 gold marbles, 10 silver marbles, and 29 black marbles.
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document.write( "The expected value of the game  E = 4*P(gold) + 2*P(silver) - 1*P(black)  dollars.\r\n" );
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document.write( "P(gold)   = \"3%2F%283%2B10%2B29%29\" = \"3%2F42\".\r\n" );
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document.write( "P(silver) = \"10%2F42\".\r\n" );
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document.write( "P(black)  = \"29%2F42\".\r\n" );
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document.write( "Therefore, the expected value of the game  E = \"4%2A%283%2F42%29+%2B+2%2A%2810%2F42%29+-+1%2A%2829%2F42%29\" = \"%284%2A3+%2B+2%2A10+-+29%29%2F42\" = \"3%2F42\" = \"1%2F14\"  of a dollar.\r\n" );
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document.write( "It means that you are expected to win  \"1%2F14\"  of the dollar every time (in average) as you play the game.\r\n" );
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