Poker Math That Matters

183
KT. There are 6 total combinations of his sets, and there
is only 1 combination of the AKs. The KT is two times
more likely than his sets. So, we find 2/3 the way from
5 to 95. The quickest way for me to think about this is
to realize this is almost just finding 2/3 the way from 0
to 100. That answer is 66. So, we need to lower that a
bit since we’re finding 2/3 of 90. I’d drop that down to
about 60. This is our average equity for 18 of the 19
combinations. We have one other combination against
which we have about 75% equity. This would raise our
equity just a hair. So, I’d estimate our equity to be in the
low 60s. If you Pokerstove it, you'll find our equity to
be 64%.
4. Hero: Q♥T♥
Villain: AK, AT, 66, 78
Board: 5♦6♦T♠J♥
What is hero's equity assuming we're all-in?
Answer: Villain’s range divides into two categories. AK
and 78 are drawing. AT and 66 have us in terrible
shape. Looking at the drawing group first, we see AK
has 9 outs for 21% equity, and 78 has eight outs for 19%
equity. 16 Both these hands are equally likely, so the
average is 20% equity. There are 32 combinations
where our equity is 80%. Against AT, we have three
16 Both these equities are raised a bit from our 4/2 rule. This is to
account for the suited diamonds combinations which have much greater
equity.