21+3 Blackjack Calculator: Poker Side Bet Strategy (2026)
21+3 Blackjack Calculator: When Blackjack Meets Poker
21+3 combines blackjack with three-card poker—your two cards plus the dealer's upcard form a three-card poker hand. Straights, flushes, three of a kind, and straight flushes all pay. Our calculator reveals the math behind this popular hybrid bet.
What Is 21+3?
21+3 is a blackjack side bet where your two cards and the dealer's upcard are evaluated as a three-card poker hand. Winning combinations include flush, straight, three of a kind, straight flush, and suited three of a kind. It plays alongside standard blackjack.
Quick Answer: 21+3 = poker side bet in blackjack. Your 2 cards + dealer upcard = 3-card poker hand. Flush: 5:1. Straight: 10:1. Three of a kind: 30:1. Straight flush: 40:1. Suited trips: 100:1. House edge: 3-8% depending on pay table. About 21% win rate.
How to Use Our Calculator
Calculate odds and payouts for 21+3 combinations.
Step-by-Step Instructions
-
Enter Your Two Cards: Your blackjack hand
-
Enter Dealer Upcard: Visible card
-
View Combination: Poker hand result
-
See Payout: If applicable
-
Calculate EV: Expected value
Input Fields Explained
| Field | Description | Example |
|---|---|---|
| Your Cards | Two dealt | 10♥ J♥ |
| Dealer Upcard | Visible | Q♥ |
| Combination | 3-card hand | Straight Flush |
| Payout | If winner | 40:1 |
| Win Probability | All winners | 21.1% |
| House Edge | True cost | 3.2% |
Winning Combinations
Flush
All same suit:
Example: 5♥ 9♥ K♥
Three hearts, any ranks
Doesn't need to connect
Probability: ~5.2%
Typical payout: 5:1
Most common winner
But lowest payout
Straight
Three consecutive ranks:
Example: 7♣ 8♥ 9♦
Sequential order
Any suits
Probability: ~3.2%
Typical payout: 10:1
Note: A-2-3 and Q-K-A count
Wraparound (K-A-2) doesn't
Three of a Kind
Three same ranks:
Example: 9♠ 9♦ 9♣
All nines
Different suits
Probability: ~0.24%
Typical payout: 30:1
Rare but exciting
Solid payout
Straight Flush
Consecutive AND same suit:
Example: 6♣ 7♣ 8♣
Sequential clubs
Probability: ~0.22%
Typical payout: 40:1
Very rare
Premium payout
Suited Three of a Kind
Three same rank AND suit:
Example: 8♥ 8♥ 8♥
Three hearts, all 8s
Requires multi-deck
Probability: ~0.003%
Typical payout: 100:1
Extremely rare
Only possible with 6-8 decks
Probability Analysis
Combined Win Rate
All winning hands:
Flush: 5.18%
Straight: 3.26%
Three of a kind: 0.24%
Straight flush: 0.22%
Suited trips: 0.003%
Total: ~8.9% per older tables
Modern 9-1 pay: ~21.1%
Depends on pay structure
Modern vs Classic Pay Tables
Classic structure:
Only top hands pay
~8.9% win rate
Modern "9-1" structure:
Flush pays (included)
~21.1% win rate
Lower individual payouts
Same approximate edge
Different experience
House Edge Analysis
Pay Table Variations
Example pay tables:
Classic:
Straight: 9:1
Three of a kind: 9:1
Straight flush: 9:1
No flush payout
Edge: ~3.2%
Modern:
Flush: 5:1
Straight: 10:1
Trips: 30:1
Straight flush: 40:1
Edge: ~3.2-8.8%
Edge by Structure
Range of edges:
Best tables: ~2.8%
Average tables: ~5.0%
Worst tables: ~8.8%
Pay table matters enormously
Always check before playing
Real-World Examples
Example 1: Flush
Common winner:
Your cards: 4♠ K♠
Dealer upcard: 9♠
Result: FLUSH (three spades)
Payout at 5:1:
$5 bet × 5 = $25 win
Most frequent winner
~5% of hands
Example 2: Straight
Consecutive ranks:
Your cards: 7♦ 8♣
Dealer upcard: 9♥
Result: STRAIGHT (7-8-9)
Payout at 10:1:
$5 bet × 10 = $50 win
~3% of hands
Solid payout
Example 3: Straight Flush
Premium hand:
Your cards: J♥ Q♥
Dealer upcard: K♥
Result: STRAIGHT FLUSH!
Payout at 40:1:
$5 bet × 40 = $200 win
Very rare (~0.2%)
Exciting when hit
Example 4: No Winner
Typical outcome:
Your cards: 7♠ K♦
Dealer upcard: 3♣
Result: NO COMBINATION
7-K-3: Not straight
Mixed suits: No flush
No matching ranks
Lose side bet
~79% of hands
Strategy Considerations
Side Bet Approach
No strategy possible:
Cards are dealt randomly
Can't influence outcome
Pure luck bet
Decision: Play or don't
Not "how to play"
Bankroll Impact
Adding 21+3:
Main bet: $25
Side bet: $5
If 5% house edge:
Main game loss: $0.125/hand
Side bet loss: $0.25/hand
Side bet triples hourly loss!
Consider carefully
When It's Reasonable
Play 21+3 if:
Good pay table (under 4% edge)
Entertainment budget allows
Small side bets only
You enjoy the excitement
Avoid if:
Grinding for value
Poor pay table (8%+ edge)
Tight bankroll
Comparison to Other Side Bets
Side Bet Rankings
Typical house edges:
21+3 (good): 3.2%
Perfect Pairs: 2-4%
Insurance: 5.9%
Lucky Ladies: 17-25%
Super Sevens: 12%
21+3 is middle tier
Better than many
Worse than some
Vs Three Card Poker
Comparison:
21+3 in blackjack: 3-8% edge
Three Card Poker ante: 3.4%
Similar concept
Different context
21+3 is side bet only
Common Mistakes
1. Ignoring Pay Tables
Mistake: Assuming all 21+3 is equal Problem: Edge ranges 3-9% Fix: Check specific payouts
2. Large Side Bets
Mistake: Betting $10-25 side bet Problem: Major expected loss increase Fix: Keep side bets small ($1-5)
3. Expecting Wins
Mistake: Thinking 21% = often Problem: 79% of hands lose Fix: Accept losing is normal
4. Chasing Premium Hands
Mistake: Playing for straight flush Problem: 0.2% = extremely rare Fix: Enjoy flushes and straights
Frequently Asked Questions
What's the overall win rate?
About 21% with modern pay tables (flush included). Classic tables with no flush payout had ~9% win rate.
Which combination is most common?
Flush at ~5.2%. It's also the lowest payout (5:1) because of its frequency.
Does 21+3 affect my blackjack play?
No. The side bet is completely separate. Play your blackjack hand normally regardless.
Is 21+3 better than Perfect Pairs?
Depends on pay tables. Both range 2-8% edge. Check specific casino payouts to compare.
Can the same cards win both 21+3 and blackjack?
Yes! If you get a straight flush that also makes 21, you win both bets. Rare but possible.
Should I always bet 21+3?
Only if you want entertainment and accept the cost. It adds 2-8% expected loss on the side bet amount.
Pro Tips
-
Check pay table: Edge varies widely
-
Small side bets: $1-5 maximum
-
~21% win rate: Expect losses
-
Flush is most common: 5:1 payout
-
Separate from main game: Doesn't affect blackjack
Related Calculators
- Blackjack Odds Calculator - Main game
- Perfect Pairs Calculator - Another side bet
- Three Card Poker Calculator - Similar hands
- House Edge Calculator - Compare games
- Expected Value Calculator - Bet analysis
Conclusion
21+3 merges blackjack with poker, evaluating your two cards plus dealer's upcard as a three-card hand. Our calculator reveals why flushes win most often at 5:1, how pay tables create edges from 3-9%, and whether this popular hybrid bet fits your entertainment budget.
Your 10♥-J♥ with dealer's Q♥ showing is a straight flush—40:1 payout. Our calculator shows the odds of each winning combination and the true cost of this poker-blackjack hybrid bet.