HOH III - Problem 15

[scarr]

You in SB with Kh 6s
Button calls, you complete. BB Checks.
Flop: 6d 2d 2c
You bet 3/4 pot.
BB folds.
Button calls.
Turn: 3c
You check.
Button checks.
River: 3d

I know what Harrington is trying to say in Problem 15, but I think he missed something on question 15D, what to do on the river. When the third diamond arrived (3d), it paired the turn card making a full house possible for anyone holding a 2. When analyzing the flop, he considered whether the BB had a 2. But when the BB folded the possibility of the 2 was dropped.

I say your betting represents a 2 up to this point and you are in the SB. Why not represent a full house and bet here as opposed to checking and calling his flush (which we put him on)?

-scarr