# Lucky 6

## Introduction

Lucky6 could loosely be described as a keno game offered by betgames.tv live dealer software. The game uses six hoppers, each containing balls numbered 0 to 9. Some balls are red and some are blue.

## Rules

1. Balls numbered from 0 to 9 are placed in six separate hoppers.
2. Balls numbered 1, 2, 5, 6, and 9 are red. The rest are blue.
3. One ball will be drawn from each bin.
4. There are three zones A, B, and C. A consists of the first and second balls drawn, B the third and fourth, and C the fourth and fifth.
5. The following bets are available. Pays are on a "for one" basis.
6. Selected ball will be drawn in specified zone — Pays 5
7. Selected balls will be drawn in order in specified zone — Pays 90
8. Count of chosen ball over 1.5 — Pays 8.3
9. Count of chosen ball under 1.5 — Pays 1.07
10. Count of chosen ball even — Pays 1.5
11. Count of chosen ball odd — Pays 2.55
12. Total of red balls under 13.5 — Pays 1.85
13. Total of red balls over 13.5 — Pays 1.95
14. Sum of blue balls under 12.5 — Pays 1.9
15. Sum of blue balls over 12.5 — Pays 1.9
16. Total of balls in specified zone under 9.5 — Pays 1.72
17. Total of balls in specified zone over 9.5 — Pays 2.1
18. Total of balls even — Pays 1.9
19. Total of balls odd — Pays 1.9
20. Total of balls in specified zone even — Pays 1.9
21. Total of balls in specified zone odd — Pays 1.9
22. Sum of all balls under 26.5 — Pays 2
23. Sum of all balls over 26.5 — Pays 1.8
24. Sum of all balls under 15.5 — Pays 18
25. Sum of all balls over 15.5 — Pays 1.01
26. Sum of all balls under 38.5 — Pays 1.01
27. Sum of all balls over 38.5 — Pays 18

## Analysis

The following table shows my analysis of every bet.

### Lucky 6

Bet Pays Combinations Probability Return
Selected ball will be drawn in specified zone 5 190,000 0.190000 0.950000
Selected balls will be drawn in order in specified zone 90 10,000 0.010000 0.900000
Count of chosen ball over 1.5 8.3 114,265 0.114265 0.948400
Count of chosen ball under 1.5 1.07 885,735 0.885735 0.947736
Count of chosen ball even 1.5 631,072 0.631072 0.946608
Count of chosen ball odd 2.55 368,928 0.368928 0.940766
Total of red balls under 13.5 1.85 513,001 0.513001 0.949052
Total of red balls over 13.5 1.95 486,999 0.486999 0.949648
Sum of blue balls under 12.5 1.9 501,660 0.501660 0.953154
Sum of blue balls over 12.5 1.9 498,340 0.498340 0.946846
Total of balls in specified zone under 9.5 1.72 550,000 0.550000 0.946000
Total of balls in specified zone over 9.5 2.1 450,000 0.450000 0.945000
Total of balls even 1.9 500,000 0.500000 0.950000
Total of balls odd 1.9 500,000 0.500000 0.950000
Total of balls in specified zone even 1.9 500,000 0.500000 0.950000
Total of balls in specified zone odd 1.9 500,000 0.500000 0.950000
Sum of all balls under 26.5 2 472,374 0.472374 0.944748
Sum of all balls over 26.5 1.8 527,626 0.527626 0.949727
Sum of all balls under 15.5 18 51,492 0.051492 0.926856
Sum of all balls over 15.5 1.01 948,508 0.948508 0.957993
Sum of all balls under 38.5 1.01 948,508 0.948508 0.957993
Sum of all balls over 38.5 18 51,492 0.051492 0.926856

The return ranges from 90.00% to 95.80%. The greatest return is on the sum of balls over 15.5 and total under 38.5, but who gambles to win 1% of their bet? The average return among all types of bets is 94.49%.