Last Updated: September 29, 2008

# Easy Lotto

## Introduction

Easy Lotto is a video-based game I noticed at the Mandalay Bay in August, 2008. After making a bet, the player chooses six numbers from 0 to 9, or has the game choose the numbers randomly. Then the game will choose six numbers of its own. Finally, the player will be paid according to how many match, and where.

## Pay Tables

In Easy Lotto, the player’s picks are scored two ways, and he wins the higher or the two. The first type of win is left-aligned matches. These wins must match in number and position, starting with the first position on the left. The second type of win must match in number and position, but the position can be anywhere. Let’s look at an example.

```       Player’s picks:  583928       Game’s picks:    580938

```
The player qualifies for either two left-aligned matches (the first and second digits) or four matches in any position (digits 1, 2, 4, and 6). The player will be paid the higher of those two wins. Under the 88% pay table (below) the player would win the greater of 16 and 60 times his bet.

The following pay table was available at the 5-cent and 10-cent denominations at the Mandalay Bay.

### 88% Pay Table

Matching Left Aligned Any Position
6 20000 0
5 1000 300
4 240 60
3 60 12
2 16 4
1 1 0
0 0 0

The following pay table was available at the 25-cent denomination at the Mandalay Bay.

### 90% Pay Table

Matching Left Aligned Any Position
6 20000 0
5 1000 340
4 240 60
3 80 12
2 16 4
1 1 0
0 0 0

## Analysis

The following tables show the probability and contribution to the return for both Mandalay Bay pay tables.

### 88% Return Table

Win Probability Return
20000 0.000001 0.020000
1000 0.000009 0.009000
300 0.000045 0.013500
240 0.000081 0.019440
60 0.001863 0.111780
16 0.008748 0.139968
12 0.011664 0.139968
4 0.091854 0.367416
1 0.059049 0.059049
0 0.826686 0.000000
Total 1.000000 0.880121

### 90% Return Table

Win Probability Return
20000 0.000001 0.020000
1000 0.000009 0.009000
340 0.000045 0.015300
240 0.000081 0.019440
80 0.000891 0.071280
60 0.000972 0.058320
16 0.008748 0.139968
12 0.011664 0.139968
4 0.091854 0.367416
1 0.059049 0.059049
0 0.826686 0.000000
Total 1.000000 0.899741

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