# 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

1. The Hot 3 side bet may be made at the same time as the blackjack bet.
2. Wins are based on the player's initial two cards and the dealer's up card.
3. The player is paid based mostly on the total points between the three cards mentioned in rule 2.
4. 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.

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