# What is the Villain's equity against Hero's cards in this hand?

In the following hand, please find the Villain's equity of his assumed range. Please share method of calculation and refrain from using equity finding tools.

Hero: Qs 4d Villain: JJ+

Board: 7c Qc Ks

Would appreciate if step by step calculation is shared for the same. It would make it much easier to understand. Thanks!

• I think the question is slightly too large and complex. Try to change villain's range to one specific hand and you might get an answer. Commented Sep 22, 2019 at 15:04

I will try to answer briefly, and I will assume by JJ+ you mean JJ, QQ, KK, AA. I will also use the 2% 4% rule when counting outs as a shortcut. (google it if you aren't familiar, very useful at the table)

for JJ: Hero is ahead and villain has 2 outs, villain has 6 combinations of JJ with 8% equity

for QQ: Hero is drawing dead, villain has 1 combination of QQ with 100% equity

for KK: Hero is basically drawing dead, only possibility to win is running queens. villain has 6 combinations of KK with ~100% equity

for AA: Hero has 5 outs, (2 Queens, 3 4's) meaning villain has ~80% equity with 6 combinations of AA

Summary:

19 total combinations, so just need to average the equity to get total equity.

(6 * 0.08) + 1 + (6 * 1) + (6 * 0.8) = 12.28 / 19 = 64.6% equity with JJ+

• please let me know if there are any errors in my answer, I would appreciate any edits or revisions Commented Sep 22, 2019 at 19:00