Last Updated: February 1, 2019

# Fielder's Choice

## Introduction

Fielder's Choice is a set of three bets in craps I noticed at the Suncoast in Las Vegas on January 30, 2019. Later, I saw them at Caesars Palace as well. They are simple one roll bets that the total will one of a group of three numbers.

## Rules

1. There are three Fielder's Choice bets, as follows:
• Total of 2, 3, or 4 — Pays 5 for 1
• Total of 4, 9, or 10 — Pays 3 for 1
• Total of 10, 11, or 12 — Pays 5 for 1
2. All three win if the total of the next roll is one of the three numbers in that group, otherwise it loses.

At the Mohegan Sun casino (associated with the Virgin hotel, formerly the Hard Rock), winning bets on the Left and Right field also paid the dealers 20% of the bet amount.

## Analysis

The following three tables show the probability and contribution to the return of all three Fielder's Choice bets. The win has been converted to a "to one" basis. The lower right cell shows a house edge of 16.67% on all of them.

### 2, 3, or 4

Event Pays Combinations Probability Return
2, 3, or 4 4 6 0.166667 0.666667
All other -1 30 0.833333 -0.833333
Total   36 1.000000 -0.166667

### 4, 9, or 10

Event Pays Combinations Probability Return
4, 9, or 10 2 10 0.277778 0.555556
All other -1 26 0.722222 -0.722222
Total   36 1.000000 -0.166667

### 10, 11, or 12

Event Pays Combinations Probability Return
10, 11, or 12 4 6 0.166667 0.666667
All other -1 30 0.833333 -0.833333
Total   36 1.000000 -0.166667