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Four 20\"s
Introduction
Four 20s is not just a numeric code related to marijuana possession; it is also a blackjack variant from DraftKings known as Four 20s Blackjack. While I refer to it as a side bet labeled Four 20s, it essentially functions like traditional four-hand blackjack with an added requirement for a side bet. The side bet awards payouts based on the number of 20s a player achieves in their initial four hands.
Rules
- Players are required to place identical bets across five points: on each of the four blackjack hands and on the Four 20s side bet.
- The blackjack rules are as follows:
- Eight decks
- Dealer stands on soft 17
- Blackjack pays 3 to 2
- Dealer peeks for blackjack
- Player may double on any two cards
- Player may double after a split
- The player has the option to re-split any pair, excluding aces, for up to four hands.
- Split aces get one card only per hand
- Surrender is not allowed
- The payout for the Four 20s side bet is determined by the number of 20-point hands achieved in the player’s first two cards per hand, counting both hard and soft 20s (for example, ace/9). The payout structure is organized as follows:
- Four 20\"s pays 420 to 1
- Three 20\"s pays 20 to 1
- Two 20\"s pays 4 to 1
- One 20 pays a random win from a push to 3 to 1
- The evaluation of the side bet occurs prior to the dealer checking for blackjack.
- Upon receiving one 20, a spinning wheel will determine the prize. Below are the different outcomes and their associated probabilities from the prize wheel.
- 3x: 5%
- 2x: 15%
- 1x: 50%
- Push (wheel stops on line): 30%
Analysis
The subsequent table illustrates the outcomes of the win wheel when achieving one 20. The average payout for one 20 is 95.00% of the amount wagered, shown in the bottom right cell.
One 20 Wheel
| Win | Weight | Probability | Return |
|---|---|---|---|
| 3 | 1 | 0.05 | 0.15 |
| 2 | 3 | 0.15 | 0.30 |
| 1 | 10 | 0.50 | 0.50 |
| 0 | 6 | 0.30 | 0.00 |
| Total | 20 | 1.00 | 0.95 |
The next table outlines the combinations, their respective probabilities, and the impact on returns for all potential results ranging from 0 to 4 hands totaling 20 points. An average win per one 20 is represented, with a house advantage calculated at 0.42% in the lower right cell.
Summarized Return Table
| 20's | Pays | Permutations | Probability | Return |
|---|---|---|---|---|
| 4 | 420 | 96,154,845,853,132,800 | 0.000115 | 0.048182 |
| 3 | 20 | 3,423,358,427,452,540,000 | 0.004084 | 0.081685 |
| 2 | 4 | 44,788,356,273,817,700,000 | 0.053435 | 0.213741 |
| 1 | 0.95 | 255,238,297,847,250,000,000 | 0.304514 | 0.289289 |
| 0 | -1 | 534,635,239,424,785,000,000 | 0.637851 | -0.637851 |
| Total | 838,181,406,819,158,000,000 | 1.000000 | -0.004955 |
The following table is an extensive return breakdown, detailing potential winnings linked to having one 20.
Detailed Return Table
| 20's | Pays | Weight | Probability | Return |
|---|---|---|---|---|
| Four 20's | 420 | 1,923,096,917,062,660,000 | 0.000115 | 0.048182 |
| Three 20's | 20 | 68,467,168,549,050,800,000 | 0.004084 | 0.081685 |
| Two 20's | 4 | 895,767,125,476,354,000,000 | 0.053435 | 0.213741 |
| One 20 -- 3x | 3 | 255,238,297,847,250,000,000 | 0.015226 | 0.045677 |
| One 20 -- 2x | 2 | 765,714,893,541,749,000,000 | 0.045677 | 0.091354 |
| One 20 -- 1x | 1 | 2,552,382,978,472,500,000,000 | 0.152257 | 0.152257 |
| One 20 -- Push | 0 | 1,531,429,787,083,500,000,000 | 0.091354 | 0.000000 |
| Zero 20's | -1 | 10,692,704,788,495,700,000,000 | 0.637851 | -0.637851 |
| Total | 16,763,628,136,383,200,000,000 | 1.000000 | -0.004955 |
This section aims to consider the Four 20s as a side bet rather than just a standalone game. For those curious, my blackjack house edge calculator indicates that the house edge in the base game of Four 20s Blackjack is 0.43286%, factoring in basic strategy and reshuffling the cards after each hand. This aligns with the 0.42% house edge mentioned in the game's help section.
External Links
- Discussion discusses Four 20s blackjack on my forum at Wizard of Vegas.
- Demo provides details about Four 20s blackjack on the Draft Kings website.