Casino
Blackjack Side Bet Calculator
Calculate an explicitly defined 21+3-style three-card side-bet model from a fresh shoe, including suited triples, straights and flushes with entered payout ratios.
Your result
4.62096974%
Modeled house edge from entered side-bet paytable
- Suited triple
- 0.02074474%
- Straight flush
- 0.20680906%
- Unsuited triple
- 0.50409709%
- Nonflush straight
- 3.10213591%
- Nonstraight flush
- 5.84235596%
- Expected net per entered stake
- −$0.05
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Defined three-card category model, fresh shoe and entered payouts; no current branded paytable inferred.
Three-card blackjack side-bet probabilities
This model combines the player’s two initial cards and dealer’s upcard as an unordered three-card sample from a fresh standard shoe. The winning categories, in precedence order, are suited triple, straight flush, unsuited triple, nonflush straight and nonstraight flush. All other hands lose.
With d decks, total unordered draws are C(52d,3). Suited triples number 52C(d,3); all triples number 13C(4d,3). There are 12 three-rank sequences including A–2–3 and Q–K–A, but not K–A–2. Straight flushes number 48d³. Subtract higher categories to avoid overlapping wins.
Enter the exact side-bet paytable
The five default payout ratios are illustrative. A named 21+3 product can use different payouts, categories or straight rules. This calculator states its model explicitly and does not certify that it matches a particular table.
Gross expected return sums each category probability times (net ratio + 1). Subtract one for expected net per stake. Counts assume a fresh complete shoe; removed cards change the probabilities. This is separate from the natural blackjack probability and main-bet payout.