[emerson]

[ QUOTE ]
how did you get that 28.5%?

[/ QUOTE ]

Okay, here is the math. We determined that a small pair has approx 36% equity against hero's open raising range from the button. This means that 64% of the time the small pair is beat on the river. He is getting pot odds of 6.25 to call. If we bet here every time it would be profitable for him to call in such situations. For an optimal bluff we want his chance of winning to be no better than his pot odds. So we divide 64% by 6.25. That comes to 10.24%.

So this means that we are betting about 74.25%. Checking behind 25.75%. Of the times we are betting, if the small pair calls, he wins less than once out of 6.25 times. So it is not profitable.

Now, we arrive at the decision point of whether to bluff or check 36% of the time. In order that our total bluff % is 10.25%, we bluff 28.5% of that 36%.

.285 * .36= .1026

This gives us just about the total percentage we are looking for. This is just a default, however. You bluff either more or less frequently depending on your read of the opponent. I think in this situation we bluff less, not more frequently, than optimal.