[bobman0330]

My answer in white:
<font color="white">
A few subgames you might encounter:
2B, 1W: 1/3 you draw the white and quit, +1; 1/3 you draw the white second, 0; 1/3 you draw the white last, -1. EV=0.
2W, 1B: 1/3 you draw both whites, no black, +2; the rest are +1. EV = 4/3.
3B, 1W: 1/4, +1; 3/4 -&gt; 2B, 1W, which has EV 0, giving a total of -1. EV = -1/2.
2W, 2B: 1/2 -&gt; 2B, 1W, which has EV 0, giving a total of +1; 1/2 -&gt; 2W, 1B, EV = 4/3, giving a total of 1/3. EV = 2/3.

So. 40% of the time we go to 3B, 1W and stop at +1. 60% of the time, you get to 2B, 2W, and draw some more, ending at -1/3. Add them up and get +$.20
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