document.write( "Question 569652: 3 cards are drawn from 12 face cards of ordinary deck of 52 playing cards. Let x be the number of kings and y be the number of jacks. Find the joint probability distribution of x and y.
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Algebra.Com's Answer #367418 by AnlytcPhil(1807)\"\" \"About 
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3 cards are drawn from 12 face cards of ordinary deck of 52 playing cards. Let x be the number of kings and y be the number of jacks. Find the joint probability distribution of x and y.
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document.write( "J♥  Q♥  K♥ \r\n" );
document.write( "J♦  Q♦  K♦\r\n" );
document.write( "J♠  Q♠  K♠\r\n" );
document.write( "J♣  Q♣  K♣ \r\n" );
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document.write( "The trinomial probability formula for non-negative integers x,y,z\r\n" );
document.write( "where x+y+z = 3\r\n" );
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document.write( "   \"expr%283%21%2F%28x%21y%21z%21%29%29%281%2F3%29%5Ex%2A%281%2F3%29%5Ey%2A%281%2F3%29%5Ez\" \r\n" );
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document.write( "or \"expr%286%2F%28x%21y%21z%213%5E%28x%2By%2Bz%29%29%29\"\r\n" );
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document.write( "Let z = the number of queens (i.e., non-jacks, non-kings)\r\n" );
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document.write( "Substitution in that formula gives the following trinomial\r\n" );
document.write( "distribution:\r\n" );
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document.write( "x  y  z    p(x,y,z)\r\n" );
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document.write( "0  0  3  1/27 = 0.03703704\r\n" );
document.write( "0  1  2  3/27 = 0.11111111 = 1/9\r\n" );
document.write( "0  2  1  3/27 = 0.11111111 = 1/9\r\n" );
document.write( "0  3  0  1/27 = 0.03703703\r\n" );
document.write( "1  0  2  3/27 = 0.11111111 = 1/9\r\n" );
document.write( "1  1  1  6/27 = 0.22222222 = 2/9\r\n" );
document.write( "1  2  0  3/27 = 0.11111111 = 1/9\r\n" );
document.write( "2  0  1  3/27 = 0.11111111 = 1/9\r\n" );
document.write( "2  1  0  3/27 = 0.11111111 = 1/9\r\n" );
document.write( "3  0  0  1/27 = 0.03703703\r\n" );
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document.write( "Edwin
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