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Pair Blackjack Side Bet
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Introduction
The 'Pair' side bet is a straightforward wager that considers the player's first two cards along with the dealer's visible card. The aim is to achieve a pair, or even better, a three of a kind with these three cards. I encountered this side bet at the Venetian Casino in Las Vegas on October 8, 2024.
Rules
Here are the guidelines for placing a Pair side bet.
- You can use any number of decks for this game, but I suspect that the pay table utilized at the Venetian is tailored for games that use only two decks.
- All potential winnings depend on the player's first two cards combined with the dealer's up card.
- If the three cards from the earlier rule result in a three of a kind, the payout for the Pair bet is an impressive 30 to 1.
- If the player's initial two cards create a pair instead, the Pair bet yields a payout of 5 to 1.
- If one of the player's first two cards aligns with the dealer's up card to form a pair, then the Pair bet pays out at 2 to 1.
- All other outcomes lose.
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Analysis
The table below provides my assessment for a two-deck game, with the bottom-right cell indicating a house edge of 10.85%.
Two-Deck Analysis
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Three of a kind | 30 | 2184 | 0.003998 | 0.119931 |
| Player pair | 5 | 34944 | 0.063963 | 0.319817 |
| Any pair | 2 | 69888 | 0.127927 | 0.255854 |
| Loss | -1 | 439296 | 0.804112 | -0.804112 |
| Total | 0 | 546312 | 1.000000 | -0.108509 |
The following table outlines the house edge for games using 1, 2, 6, and 8 decks.
House Edge Summary
| Decks | House Edge |
|---|---|
| 8 | 0.08% |
| 6 | 1.28% |
| 2 | 10.85% |
| 1 | 24.94% |
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