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Golden 21
Introduction
Golden 21 is a straightforward side bet I observed at the Four Queens Casino in Las Vegas in January 2015. This bet rewards players based on the poker-like hands formed by their first two cards. The odds of this side bet are owned by Score Gaming.
Rules
Golden 21 payouts depend on the player's initial two cards, detailed as follows:
Pay Table
| Hand | Pays |
|---|---|
| Ace/king suited | 30 to 1 |
| Straight flush | 5 to 1 |
| Pair | 3 to 1 |
| Blackjack | 1.5 to 1 |
| Straight | 1 to 1 |
Analysis
The table below illustrates my evaluation of Golden 21 considering six decks, revealing a house edge of 7.35% in the bottom right cell.
Golden 21
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Ace/king suited | 30 | 144 | 0.002968 | 0.089043 |
| Straight flush | 5 | 1,728 | 0.035617 | 0.178086 |
| Pair | 3 | 3,588 | 0.073955 | 0.221865 |
| Blackjack | 1.5 | 2,160 | 0.044521 | 0.066782 |
| Straight | 1 | 5,184 | 0.106851 | 0.106851 |
| All other | -1 | 35,712 | 0.736087 | -0.736087 |
| Total | 48,516 | 1.000000 | -0.073460 |
The subsequent payout table outlines the house edge for various deck counts, applying the same payout structure as before.
House Edge Table
| Decks | House Edge |
|---|---|
| 8 | 7.10% |
| 6 | 7.35% |
| 5 | 7.54% |
| 4 | 7.84% |
| 2 | 9.34% |
| 1 | 12.37% |