Lets say there were ten hand combos in villains range, 3 of which where bluffs. Now he bluffs twice as much. Clearly he will still bet his made hands as well. For this reason, we must change the fraction to 6/13 as suggested by previous posters.


Another way to look at this is say our villain has 20 possible hands with which he can get to the river. In the original scenario he bets 7 of these hands for value, and bluffs with 3 of the other 13 hands. This gives our villain a bluffing % of 3/13 x 100 =23%. In words this means 23 percent of the time he gets to the river with a non nut hand, he fires. if we suggest his bluffing percent doubles he will now be bluffing 46% of his air hands. 46% = 6/13.

Please do not confuse the percent chance villain with bluff with air with our equity. They are not the same.