A and B play 12 games of chess, of which 6 are won by A, 4 are won by B, and 2 end in a draw. They agree to play a match consisting of 3 games. Find the probability that
a) A wins all 3 games
b) 2 games end in a draw
c) A and B win alternately
d) B wins at least 1 game.
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