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7's Blackjack Side Bet
Introduction
The 7's is a side bet I have seen on electronic blackjack table games by Interblock. It bears a strong resemblance to the Blazing 7's side bet by Light & Wonder. Wins pay according to the sevens that appear in the player's first two cards and dealer's up card.
Rules
The following is the pay table. Only the highest win pays. The top two wins are based on the player's first two cards and the dealer's up card.
- Suited 7-7-7 pays 200 to 1.
- 7-7-7 pays 125 to 1.
- Player's first two cards suited 7-7 pays 100 to 1.
- Player's first two cards 7-7 pays 50 to 1.
- Player's first card is a 7 pays 6 to 1.
Analysis
The following table shows my analysis based on six decks. The lower right cell shows a house edge of 12.23%.
7's -- Six Decks
| Event | Pays | Permutations | Probability | Return |
|---|---|---|---|---|
| 7-7-7 suited | 200 | 480 | 0.000016 | 0.003191 |
| 7-7-7 | 125 | 11,664 | 0.000388 | 0.048471 |
| First two cards suited 7-7 | 100 | 34,560 | 0.001149 | 0.114894 |
| First two cards 7-7 | 50 | 124,416 | 0.004136 | 0.206809 |
| First card 7 | 6 | 2,142,720 | 0.071234 | 0.427405 |
| All other | -1 | 27,766,080 | 0.923077 | -0.923077 |
| Total | 30,079,920 | 1.000000 | -0.122306 |
The following table shows my analysis based on eight decks. The lower right cell shows a house edge of 11.59%.
7's -- Six Decks
| Event | Pays | Permutations | Probability | Return |
|---|---|---|---|---|
| 7-7-7 suited | 200 | 1,344 | 0.000019 | 0.003761 |
| 7-7-7 | 125 | 28,416 | 0.000398 | 0.049697 |
| First two cards suited 7-7 | 100 | 86,016 | 0.001203 | 0.120348 |
| First two cards 7-7 | 50 | 294,912 | 0.004126 | 0.206310 |
| First card 7 | 6 | 5,087,232 | 0.071177 | 0.427062 |
| All other | -1 | 65,975,040 | 0.923077 | -0.923077 |
| Total | 71,472,960 | 1.000000 | -0.115899 |