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The 21 Bell slot machine
Analysis of 21 Bell Slot Machine
This supplement aims to illustrate the return for the 21 Bell Slot Machine is calculated.
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Table 1 presents the likelihood of each symbol appearing on the reels, with each position having an equal chance.
Table 1 — Reel Strips
| Stop | Reel 1 | Reel 2 | Reel 3 |
|---|---|---|---|
| 1 | orange | cherry | bell |
| 2 | melon | plum | orange |
| 3 | plum | cherry | plum |
| 4 | cherry | 7 and orange | bell |
| 5 | plum | cherry | orange |
| 6 | orange | bell | lemon |
| 7 | 7 | plum and bar | bell |
| 8 | bell and bar | bell | melon and orange |
| 9 | orange | cherry | bell |
| 10 | cherry | orange | plum |
| 11 | bar | bell | lemon |
| 12 | plum | melon and orange | bell |
| 13 | orange | plum | plum |
| 14 | plum | bell | bell |
| 15 | melon | cherry | 7 and bar |
| 16 | plum | bar | lemon |
| 17 | orange | orange | bell |
| 18 | plum | cherry | melon and orange |
| 19 | bar | bell | bell |
| 20 | plum | melon and orange | lemon |
Table 2 provides details on the occurrence rate of various symbols on the reels.
Table 2 — Symbol Frequency
| Symbol | Reel 1 | Reel 2 | Reel 3 |
|---|---|---|---|
| 7 | 1 | 1 | 1 |
| Bar | 3 | 2 | 1 |
| Melon | 2 | 2 | 2 |
| Bell | 1 | 5 | 8 |
| Plum | 7 | 3 | 3 |
| Orange | 5 | 5 | 4 |
| Cherry | 2 | 6 | 0 |
| Lemon | 0 | 0 | 4 |
Table 3 outlines the various combinations of winning patterns (probability combinations) and the anticipated returns for each winning pattern based on all possible scenarios (return combinations).
Table 3 — Combinations of Probability and Expected Returns
| Win | Pays | Probability Combinations |
Return Combinations |
|---|---|---|---|
| 3 sevens | 200 | 1 | 200 |
| 3 bars | 100 | 6 | 600 |
| 3 melons | 100 | 8 | 800 |
| melon, melon, bar | 100 | 4 | 400 |
| 3 bells | 18 | 40 | 720 |
| bell, bell, bar | 18 | 5 | 90 |
| 3 plums | 14 | 63 | 882 |
| plum, plum, bar | 14 | 21 | 294 |
| 3 oranges | 10 | 100 | 1000 |
| orange, orange, bar | 10 | 25 | 250 |
| cherry, cherry, any | 5 | 240 | 1200 |
| cherry, any, any | 2 | 560 | 1120 |
| Total | 1073 | 7556 |
The last row of Table 3 displays 1,073 different probability combinations alongside 7,556 return combinations. With 20 positions available on each reel, the overall combinations total 20, resulting in 8,000 combinations in total. Therefore, the likelihood of achieving a win (hit frequency) is calculated as 1,073 divided by 8,000, equating to 13.41%. The projected return of the machine stands at 7,556 divided by 8,000, which is 94.45%.3Utilize statistically sound strategies and resources for spielen casino games such as blackjack, craps, roulette, and a multitude of others available.