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[Correct: 20%]
You might think that having a pair of Aces vs. a pair of 5s puts you ahead, but assuming your opponent holds two low cards in the hole, you're actually in a desperately unfavorable spot.
Let's think about it in terms of pot odds:
Heavy action scenario
3rd Street
Complete/Call → 2BB
Raise → 2BB
Ante + Bring-in → ~1BB (estimated)
4th Street
Bet → 1BB
Call → 1BB
5th Street
Check / Call or Fold??
Bet → 2BB
Call amount: 2BB
Total pot: 2BB + 2BB + 1BB + 1BB + 1BB + 2BB + 2BB = 11BB
Required equity = 2 / 11 = 18.2%
Player 1's equity 17% < Required equity 18% ✕
Light action scenario
3rd Street
Complete → 1BB
Bring-in/Call → 1BB
Ante → ~0.5BB (estimated)
4th Street
Check
Check
5th Street
Check / Call or Fold??
Bet → 2BB
Call amount: 2BB
Total pot: 1BB + 1BB + 0.5BB + 2BB + 2BB = 6.5BB
Required equity = 2 / 6.5 = 30.8%
Player 1's equity 17% < Required equity 31% ✕
Based on pot odds, this is a clear fold — but only when your opponent is guaranteed to have two low cards in the hole.
In practice, a late-position complete can sometimes be any two cards, so there are cases where defending wide is justified. However, against tight players or early-position opens, calling too loosely is dangerous. It might be worth taking a moment to pause and think before putting in those chips.
[Correct: 35%]
AA vs KK may seem hopeless, but in Seven Card Stud, with 4 more cards to come + kicker, KK holds ~35% equity.
Winning roughly 1 in 3 times means auto-folding to an Ace door card raise on 3rd Street is a clear over-fold.
Let's look at the pot odds:
KK complete → 1BB
AA raise → 2BB
Ante + Bring In → ~1BB (assumed)
Call amount: 1BB
Total pot: 2BB + 1BB + 1BB + 1BB = 5BB
Required equity = 1 ÷ 5 = 20%
KK equity 35% > Required 20% ✅
→ You must call even if you know your opponent has a pair of Aces.
#MixedGames #Poker #Stud
Mix Odds Quiz #3
Seven Card Stud - 3rd Street
Player 1
6♠ A♦ A♥
Player 2
9♣ K♦ K♥
What is the closest equity for Player 2 (9♣ K♦ K♥)?
1.20%
2.25%
3.30%
4.35%
[Correct : 30%]
There are 12 live cards (5, 6, 7 — four of each) that beat 84321, and 3 eights that chop.
9 cards are already out, so 52 − 9 = 43 cards remain.
Out of those 43, 12 win and 3 chop (worth 50% of the pot).
(12 + 3 * 0.5) / 43 = 31.4%
On the last draw, the pot is usually already big because of prior betting rounds. If you know your opponent is patting 84321, you need to call getting the right odds and realize your 31.4% equity.