# Red and White

## Introduction

Red and White started as a street game in the Philippines and can now be played at Resorts World in Manila. It is a simple game where three balls are dropped onto a grid of red, white, and yellow squares. There are several bets to choose from according to what colors the balls may land in.

## Rules

Following are the rules according to my understanding. Some of them are based on unconfirmed reports, so I welcome correction if any of this is incorrect.

1. Three balls are dropped onto a 10 by 10 grid of squares. I assume that no two or more balls can land in the same square.
2. The 100 squares are colored as follows:
• Red: 49
• White: 49
• Yellow: 2
3. The following bets are available:
• Two reds: Pays 1 to 1 if the balls land in at least two red squares, except loses on two reds and one yellow.
• Two white: Pays 1 to 1 if the balls land in at least two white squares, except loses on two whites and one yellow.
• Three reds: Pays 7 to 1 if the balls land in three red squares.
• Three whites: Pays 7 to 1 if the balls land in three white squares.
• One yellow: Pays 15 to 1 if the balls land in at least one yellow square.
• Two yellows: Pays 250 to 1 if the balls land in the two yellow squares.

## Analysis

The following table shows the number of winning combinations (out of a total of 161,700 possible), probability of winning, and expected return of each bet.

### Red and White

Bet Pays Combinations Probability Return
Two red 1 76,048 0.470303 -0.059394
Two white 1 76,048 0.470303 -0.059394
Three red 7 18,424 0.113939 -0.088485
Three white 7 18,424 0.113939 -0.088485
One yellow 15 9,604 0.059394 -0.049697
Two yellow 250 98 0.000606 -0.847879

As you can see, there is quite a range in the house edge on this game, from a low of 4.97% on the one yellow to 84.79% on two yellows. In fact, in my 20 years of analyzing casino games, the two yellow bet is among the worst bets I have ever seen.