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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 |