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7-card stud (High) rules and overview

General Statistics

High-hand probabilities in seven cards

7-Card Stud (High)

5-Card Hands # of Hands in Seven Cards Probability (as a %) Odds Against
Royal Flush 4,324 0.003% 30,939 : 1
Straight Flush 37,260 0.028% 3,590 : 1
Four of a Kind 224,848 0.168% 594 : 1
Full House 3,473,184 2.596% 38 : 1
Flush 4,047,644 3.025% 32 : 1
Straight 6,180,020 4.619% 21 : 1
Three of a Kind 6,461,620 4.830% 20 : 1
Two Pair 31,433,400 23.496% 3.3 : 1
One Pair 58,627,800 43.823% 1.3 : 1
No Hand 23,294,460 17.412% 4.7 : 1
Total 133,784,560 100.0%

Source: www.durangobill.com/Poker_Probabilities_7_Cards.html

 

3-Card Hands # Hands in 3 Cards % Odds
Straight Flush 48 0.217% 460 : 1
Three of a Kind 52 0.235% 424 : 1
Straight 720 3.258% 30 : 1
Flush 1,096 4.959% 19 : 1
One Pair 3,744 16.941% 5 : 1
No Hand (2-Jack) 6,720 30.407% 2.3 : 1
No Hand (Queen-Ace) 9,720 43.982% 1.3 : 1
Total 22,100 100.0%

Source: http://en.wikipedia.org/wiki/Three_card_poker#Hand_Ranks_of_Three_Card_Poker

 

7-Card Stud Low (“Razz”)

5-Card Low Hands # Hands in Seven Cards Probability (as a %) Odds Against
5-high 781,824 0.584% 170 : 1
6-high 3,151,360 2.360% 41 : 1
7-high 7,426,560 5.550% 17 : 1
8-high 13,171,200 9.850% 9 : 1
Total 8-Lows 24,530,944 18.344% 4.5 : 1
9-high 19,174,400 14.300% 6 : 1
10-high 23,675,904 17.700% 4.6 : 1
Jack-high 24,837,120 18.600% 4.4 : 1
Queen-high 21,457,920 16.000% 5 : 1
King-high 13,939,200 10.400% 8.6 : 1
Total Non-Pair
127,615,488 95.344%

Source: www.durangobill.com/LowballPoker/Lowball_Poker_7_cards.html

 

General Strategic Considerations

Minimum stack size per table: at least 17 big bets: 25bb recommendation
Capped each round = 4xsb on 3rd and 4th + 4xbb on 5th-7th = 16 big bets
Fixed-limit Hold ‘em = 12 big bets maximum per game when capped
Table maximum generally doesn’t exist (nor does it matter in fixed limit)

2-pair is often referred to as the “dead-man’s hand”
Beware of door cards that pair on later streets
Beware of mid & low cards on later streets that are bet by passive players

Implied odds, player profiling, loose/tight games, full-ring or short-handed
The greater the number of players dealt a hand, and the greater the number of players seeing 4th and 5th street, the better the hand you’ll need to win. Fold equity in fixed-limit games is already very low, but as players in the hand increase, fold equity becomes even lower … almost non-existent.

Hand Ranking: suits have no influence on the rank of hands (spreadsheet)
Lowest door card (suits–low to high: CDHS): forced “Bring-in” or “Complete”
Bring-In size: ~25% to 50% of the small bet
Position (high-hand opens from 4th to 7th Street: positional disadvantage)
Generally a 4-bet cap per round (i.e. a 3-raise limit): sometimes unlimited when HU

 

Starting-Hands Recommendations (“ranges”)

Full-Ring (i.e. 6-8 players) Starting Hands Recommendations

3rd Street

“Rolled Up”: i.e. trips
88+ in the hole (“wired”) w/decent kicker; TT+ “split” (ex: AT down, T up)
Any broadway with all 3 cards above all other door cards
3-flush with high cards (preferably w/Ace and maximum of 2 “dead” outs)
Max-stretch 0-gap rundowns (maximum of 2 “dead” outs: ex. QJT or 345)
2-suited connectors (ex: 8hTh | 9s; Ac Jc | Th) with a max of 2 dead outs
Always take playability, fold equity & the respective images into account
Implied odds are key in fixed limit!

[3-card hand probabilities (table)]

4rd Street

Heads-up (or up-pair): “double-bet” or “double-raise” option on 4th street

5th Street

Look at runners and check/calling down
Avoid 2-card draws on 5th street
Big bets (2x the small bet)

6th Street

Look at one-card draws

7th Street — a.k.a “The River”

Calling down and respective equity needed to do so

[5-card hands dealt in 7 cards (table)]

 

Strategy/Tactics

See our poker-strategy blog and of course in the Essential Poker Knowledge videos for additional details and clarification on the information provided here.

 

Strategy Recap and What’s to Come for Our Members

7-Card Stud high …

 

Other Useful Tools for Maximizing Your Profit

 

Free Poker Resources and Equity Analysis Programs

Equity match-ups for hands and ranges and probability calculators

Pro Poker Tools (free equity analyses for multiple game types)

Tournament Results Tracker

Official Poker Rankings (player ratings based on online poker tournament results)