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Easy Lotto

Last Update: Sep 29, 2008

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.

Matching	Left Aligned	Any Position
90% Pay Table
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.

Win	Probability	Return
88% Return Table
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

Win	Probability	Return
90% Return Table
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