document.write( "Question 1119461: Three balls are randomly chosen from an urn containing 3 white, 3 red, and 5 black balls. suppose that we win #1 for each white ball selected and lose #1 for each red ball selected. what is the probability that we win the money? \n" ); document.write( "

Algebra.Com's Answer #735057 by ikleyn(52848) $\"\"$ $\"About$

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document.write( "Since the number of white balls is the same as the number of red balls, \r\n" );
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document.write( "the game is totally symmetric. In other words, for any combination  (mW,nR) of having m White balls and n Red balls,\r\n" );
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document.write( "there is the same probability to have symmetric combination (nW,mR).\r\n" );
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document.write( "It means that for every chance to win (m-n) dollars, there is THE SAME chance to loose (m-n) dollars.\r\n" );
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document.write( "If the game is repeating infinitely long, the probability to gain money is ZERO - same as the probability to loose money.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The answer and the solution are clear without any calculations.\r
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