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Last Updated: January 8, 2019

# Poker Bet on Blackjack

## Introduction

I spotted the Poker bet at some blackjack tables in the Zurich casino on March 12, 2018. It is the same thing as the 21+3, except it pays 8.5 to 1, instead of 9. Following are the full rules.

## Rules

The Poker bet pays based on the poker value of the player's initial two cards and the dealer's up card. If the three cards form a straight, flush, straight flush, or three of a kind, the bet pays 8.5 to 1.

## Analysis

The following table shows my analysis for six decks. The lower right cell shows a house edge of 8.08%.

### 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

The house edge with four decks is 9.03% and with eight decks is 7.60%.

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