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Hot 3: Blackjack Side Bet
Introduction
The Hot 3 is a blackjack side bet used in the Infinite Blackjack game by Evolution Gaming. It is very similar to the Lucky Lucky, in that both are based on the player's first two cards and the dealer's up card and win for total points of 19 to 21.
Rules
- The Hot 3 side bet may be made at the same time as the blackjack bet.
- Wins are based on the player's initial two cards and the dealer's up card.
- The player is paid based mostly on the total points between the three cards mentioned in rule 2.
- All cards are scored as in blackjack, including the ace as 1 or 11 points. The full pay table is as follows.
Following is the pay table for the Hot 3. All pays are on a "to one" basis.
Hot 3 Pay Table
| Bet | Pays |
|---|---|
| Three sevens | 100 |
| Suited 21 | 20 |
| 21 points | 4 |
| 20 points | 2 |
| 19 points | 1 |
Four Deck Analysis
Following is my analysis of the Hot 3 with four decks of cards. The lower right cell shows a house edge of 5.65%
Hot 3 Analysis — Four Decks
| Bet | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Three sevens | 100 | 560 | 0.000379 | 0.037882 |
| Suited 21 | 20 | 8,032 | 0.005433 | 0.108669 |
| 21 points | 4 | 123,936 | 0.083839 | 0.335357 |
| 20 points | 2 | 111,488 | 0.075419 | 0.150837 |
| 19 points | 1 | 107,648 | 0.072821 | 0.072821 |
| All other | -1 | 1,126,592 | 0.762109 | -0.762109 |
| Total | 1,478,256 | 1.000000 | -0.056542 |
Six Deck Analysis
Following is my analysis of the Hot 3 with six decks of cards. The lower right cell shows a house edge of 5.49%
Hot 3 Analysis — Six Decks
| Bet | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Three sevens | 100 | 2,024 | 0.000404 | 0.040372 |
| Suited 21 | 20 | 27,432 | 0.005472 | 0.109436 |
| 21 points | 4 | 419,256 | 0.083628 | 0.334514 |
| 20 points | 2 | 377,568 | 0.075313 | 0.150626 |
| 19 points | 1 | 364,320 | 0.072670 | 0.072670 |
| All other | -1 | 3,822,720 | 0.762513 | -0.762513 |
| Total | 5,013,320 | 1.000000 | -0.054894 |
Eight Deck Analysis
Following is my analysis of the Hot 3 with eight decks of cards. The lower right cell shows a house edge of 5.40%
Hot 3 Analysis — Eight Decks
| Bet | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Three sevens | 100 | 4,960 | 0.000416 | 0.041638 |
| Suited 21 | 20 | 65,408 | 0.005491 | 0.109817 |
| 21 points | 4 | 994,944 | 0.083523 | 0.334094 |
| 20 points | 2 | 896,512 | 0.075260 | 0.150520 |
| 19 points | 1 | 864,768 | 0.072595 | 0.072595 |
| All other | -1 | 9,085,568 | 0.762714 | -0.762714 |
| Total | 11,912,160 | 1.000000 | -0.054049 |