Last Updated: September 5, 2019

# Pair Fortunes Side Bet

## Introduction

Pair Fortunes is one of the few sides bets available for pai gow tiles. If the player gets at least one pair, he wins. He wins even more for two. To my knowledge, there are three pay tables for the game out there, as follows:

### Pay Tables

Event Pay Table 1 Pay Table 2 Pay Table 3
Gee Joon and Heaven pairs 300 299 250
Two pair 25 25 25
Gee Joon pair 8 8 8
Mixed pair 4 4 5
Identical pair 3 3 2

## Pay Table 1 Analysis

The following table shows my analysis of pay table 1. The lower right cell shows a house edge of 5.30%.

### Pay Table 1

Event Pays Combinations Probability Return
Gee Joon and Heaven pairs 300 1 0.000028 0.008343
Two pair 25 119 0.003309 0.082731
Gee Joon pair 8 420 0.011680 0.093437
Mixed pair 4 1,680 0.046719 0.186874
Identical pair 3 4,620 0.128476 0.385428
All other -1 29,120 0.809789 -0.809789
Total   35,960 1.000000 -0.052976

## Pay Table 2 Analysis

The following table shows my analysis of pay table 2. The lower right cell shows a house edge of 5.30%.

### Pay Table 2

Event Pays Combinations Probability Return
Gee Joon and Heaven pairs 299 1 0.000028 0.008315
Two pair 25 119 0.003309 0.082731
Gee Joon pair 8 420 0.011680 0.093437
Mixed pair 4 1,680 0.046719 0.186874
Identical pair 3 4,620 0.128476 0.385428
All other -1 29,120 0.809789 -0.809789
Total   35,960 1.000000 -0.053003

## Pay Table 3 Analysis

The following table shows my analysis of pay table 3. The lower right cell shows a house edge of 13.61%.

### Pay Table 3

Event Pays Combinations Probability Return
Gee Joon and Heaven pairs 250 1 0.000028 0.006952
Two pair 25 119 0.003309 0.082731
Gee Joon pair 8 420 0.011680 0.093437
Mixed pair 5 1,680 0.046719 0.233593
Identical pair 2 4,620 0.128476 0.256952
All other -1 29,120 0.809789 -0.809789
Total   35,960 1.000000 -0.136123

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