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Poker Bet on Blackjack
Introduction
I noticed the Poker bet option available at some blackjack tables in the Zurich casino on March 12, 2018. It operates similarly to the traditional bet, but offers a payout of 8.5 to 1 instead of 9. Below are the complete rules. 21+3 The Poker bet is contingent on the poker ranking of the player’s first two cards along with the dealer’s up card. If these three cards make a straight, flush, straight flush, or three of a kind, the payout is 8.5 to 1.
Rules
Here's my analysis based on six decks; the bottom right cell indicates a house edge of 8.08%.
Analysis
For four decks, the house edge stands at 9.03%, while for eight decks it is reduced to 7.60%.
Poker Bet — Six Decks
| Event | Pays | Combinations | Probability | Return |
|---|---|---|---|---|
| Straight flush | 8.5 | 11,408 | 0.002276 | 0.019342 |
| Three of a kind | 8.5 | 25,272 | 0.005041 | 0.042848 |
| Straight | 8.5 | 155,520 | 0.031021 | 0.263682 |
| Flush | 8.5 | 292,896 | 0.058424 | 0.496600 |
| Pair | -1 | 977,184 | 0.194918 | -0.194918 |
| Loser | -1 | 3,551,040 | 0.708321 | -0.708321 |
| Total | 5,013,320 | 1.000000 | -0.080766 |
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