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Super Sevens
Introduction
Super Sevens, also known as Crazy Sevens or Lucky Sevens, is a side bet in blackjack that pays out based on the player's first three cards, rewarding players if the first card is a seven. Payouts increase for two or three sevens in a row, especially if they match in suit.
This analysis takes into account situations where, if a player receives two sevens and decides to split, the first card drawn for the new hand could complete a three-card seven.
It's not always clear what occurs if a player has two sevens and the dealer flips a blackjack. Based on my understanding, the player would receive a payout for the two sevens, but would not be eligible for an additional card. I can confirm that this rule holds true for Lucky Sevens, although I've also considered both scenarios in the analysis below.
Rules
The pay table displayed below outlines various winning combinations. Separate columns detail the distinct pay tables for both Super Sevens and Crazy Sevens.
Pay Table
| Event | Super Sevens |
Crazy Sevens |
Lucky Sevens |
|---|---|---|---|
| 7-7-7 suited | 5000 | 2000 | 500 |
| 7-7-7 | 500 | 500 | 100 |
| 7-7 suited | 100 | 150 | 50 |
| 7-7 | 50 | 25 | 25 |
| 7 | 3 | 5 | 3 |
Rule Variants:
- If a player holds two sevens and the dealer reveals a blackjack, does the player receive a third card just for the side bet purposes?
- What are the implications when a player splits two sevens?
Super Sevens
The upcoming table presents the analysis of the Super Sevens bet under the assumption of six decks, where the player is assured a third card, even after a split and in scenarios where the dealer holds a blackjack. The house edge calculated is at 11.40%.
Super Sevens — Six Decks — Guarantee for Three Cards
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 7-7-7 suited | 5000 | 480 | 0.000016 | 0.079787 |
| 7-7-7 | 500 | 11,664 | 0.000388 | 0.193883 |
| 7-7 suited | 100 | 34,560 | 0.001149 | 0.114894 |
| 7-7 | 50 | 124,416 | 0.004136 | 0.206809 |
| 7 | 3 | 2,142,720 | 0.071234 | 0.213703 |
| Loser | -1 | 27,766,080 | 0.923077 | -0.923077 |
| Total | 30,079,920 | 1.000000 | -0.114000 |
The next table analyzes the Super Sevens bet while assuming six decks, where the player is limited to two cards if the dealer has a blackjack. Even when a split occurs, the next drawn card counts towards potential triple-seven wins. The house edge observed here is 12.61%.
Super Sevens — Six Decks — No Guarantee for Three Cards
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 7-7-7 suited | 5000 | 21,735,360 | 0.000015 | 0.075924 |
| 7-7-7 | 500 | 528,169,248 | 0.000369 | 0.184496 |
| 7-7 suited | 100 | 1,650,654,720 | 0.001153 | 0.115319 |
| 7-7 | 50 | 5,942,356,992 | 0.004151 | 0.207574 |
| 7 | 3 | 101,963,473,920 | 0.071234 | 0.213703 |
| Loser | -1 | 1,321,276,682,880 | 0.923077 | -0.923077 |
| Total | 1,431,383,073,120 | 1.000000 | -0.126061 |
The following table illustrates the house edge of the Super Sevens side bet, varying with the number of decks while also factoring in whether a third card is guaranteed for the player when the dealer shows a blackjack.
Super Sevens — Summary
| Decks | Guarantee | No Guarantee |
|---|---|---|
| 4 | 15.92% | 16.97% |
| 5 | 13.25% | 14.39% |
| 6 | 11.40% | 12.61% |
| 8 | 9.01% | 10.29% |
Crazy Sevens
The subsequent table provides an analysis of the Crazy Sevens side bet, under the presumption of six decks where the player is assured a third card including after a split and when the dealer has a blackjack. Here, the house edge calculated is 6.54%.
Crazy Sevens — Six Decks — Guarantee for Three Cards
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 7-7-7 suited | 2000 | 480 | 0.000016 | 0.031915 |
| 7-7-7 | 500 | 11,664 | 0.000388 | 0.193883 |
| 7-7 suited | 150 | 34,560 | 0.001149 | 0.172341 |
| 7-7 | 25 | 124,416 | 0.004136 | 0.103405 |
| 7 | 5 | 2,142,720 | 0.071234 | 0.356171 |
| Loser | -1 | 27,766,080 | 0.923077 | -0.923077 |
| Total | 30,079,920 | 1.000000 | -0.065362 |
The next table evaluates the Crazy Sevens side bet with six decks, with the player capped at receiving only two cards if the dealer reveals a blackjack. Even after splitting, the next card still counts for potential triple-sevens. This analysis presents a house edge of 7.53%.
Crazy Sevens — Six Decks — No Guarantee for Three Cards
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 7-7-7 suited | 2000 | 21,735,360 | 0.000015 | 0.030370 |
| 7-7-7 | 500 | 528,169,248 | 0.000369 | 0.184496 |
| 7-7 suited | 150 | 1,650,654,720 | 0.001153 | 0.172978 |
| 7-7 | 25 | 5,942,356,992 | 0.004151 | 0.103787 |
| 7 | 5 | 101,963,473,920 | 0.071234 | 0.356171 |
| Loser | -1 | 1,321,276,682,880 | 0.923077 | -0.923077 |
| Total | 1,431,383,073,120 | 1.000000 | -0.075275 |
The following table delineates the house edge concerning the Crazy Sevens side bet relative to the deck count and the guarantee of a third card when the dealer has a blackjack.
Crazy Sevens — Summary
| Decks | Guarantee | No Guarantee |
|---|---|---|
| 4 | 10.09% | 11.01% |
| 5 | 7.97% | 8.93% |
| 6 | 6.54% | 7.53% |
| 8 | 4.71% | 5.74% |
Lucky Sevens
Lucky Sevens is a variant of this side bet employed in BetConstruct's live dealer blackjack games; they do not deal a third card if the dealer achieves a blackjack. The subsequent table shows the Lucky Sevens payout structure and analysis based on the eight decks utilized. The house edge calculated here is an alarming 49.88%.
Lucky Sevens — Eight Decks — No Guarantee for Three Cards
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 7-7-7 suited | 500 | 108,839,808 | 0.000018 | 0.008949 |
| 7-7-7 | 100 | 2,301,184,512 | 0.000378 | 0.037844 |
| 7-7 suited | 50 | 7,345,594,368 | 0.001208 | 0.060400 |
| 7-7 | 25 | 25,184,894,976 | 0.004142 | 0.103543 |
| 7 | 3 | 432,811,524,096 | 0.071177 | 0.213531 |
| Loser | -1 | 5,613,024,453,120 | 0.923077 | -0.923077 |
| Total | 6,080,776,490,880 | 1.000000 | -0.498810 |
This shows the house edge of the Lucky Sevens payout structure for varying numbers of decks.
- Four decks — 51.25%
- Five decks — 50.71%
- Six decks — 50.34%
- Eight decks — 49.88%
Espresso Games Rules
Espresso Games has introduced a Lucky 7 side bet in one of their blackjack offerings. They also use eight decks and I assume no guarantee for a third card. The upcoming table presents their payout structure and the respective odds, revealing a house edge of 7.83%.
Espresso Games Rules
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| 7-7-7 suited | 3000 | 108,839,808 | 0.000018 | 0.053697 |
| 7-7-7 | 500 | 2,301,184,512 | 0.000378 | 0.189218 |
| 7-7 suited | 150 | 7,345,594,368 | 0.001208 | 0.181200 |
| 7-7 | 50 | 25,184,894,976 | 0.004142 | 0.207086 |
| 7 | 3 | 432,811,524,096 | 0.071177 | 0.213531 |
| Loser | -1 | 5,613,024,453,120 | 0.923077 | -0.923077 |
| Total | 6,080,776,490,880 | 1.000000 | -0.078344 |
Internal Links
For an extensive compilation of various blackjack side bets, please refer to my" "Thoroughly researched mathematical strategies and insights for casino games like blackjack, craps, roulette, and many others that can be enjoyed. blackjack side bets page.