# BNB Vault

<figure><img src="https://719221455-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2F996WUMvTi2XnTuHPiqAQ%2Fuploads%2FvCHP9w7Qx0egGWZzKbcs%2F2.png?alt=media&#x26;token=ff079918-99cb-40b4-9356-bc6dd42f5baf" alt=""><figcaption></figcaption></figure>

**Probability**

BNB Vault on Toyland is a 3-reel slots game with 7 symbols in each reel. BNB Vault is a simple game with simple rules summarized in the payout table below.

| Outcome | Combinations | Probability |
| ------- | ------------ | ----------- |
| Win     | 57           | 16.618%     |
| Loss    | 286          | 83.382%     |
| Total   | 343          | 100%        |

In the table below all symbols are mentioned. The 16.618% win probability can be split up in the following outcomes:

<table><thead><tr><th width="281.28515625">Player outcome</th><th width="157.45703125">Combinations</th><th width="168.63671875">Probability</th><th>Multiplier</th></tr></thead><tbody><tr><td>3 Toy</td><td>1</td><td>0.2915%</td><td>100x</td></tr><tr><td>3 CZ</td><td>1</td><td>0.2915%</td><td>45x</td></tr><tr><td>3 Floki <strong>or</strong> 2 Floki + 1 CZ in <strong>right</strong> slot</td><td>2</td><td>0.583%</td><td>20x</td></tr><tr><td>3 Build <strong>or</strong> 2 Build + 1 CZ in <strong>right</strong> slot</td><td>2</td><td>0.583%</td><td>12x</td></tr><tr><td>3 Burn <strong>or</strong> 2 Burn + 1 CZ in <strong>right</strong> slot</td><td>2</td><td>0.583%</td><td>10x</td></tr><tr><td>3 Farmer</td><td>1</td><td>0.2915%</td><td>5x</td></tr><tr><td>2 Farmer in <strong>left</strong> and <strong>middle</strong> slot</td><td>6</td><td>1.749%</td><td>3x</td></tr><tr><td>1 Farmer in <strong>left</strong> slot</td><td>42</td><td>12.243%</td><td>2x</td></tr><tr><td><strong>Total</strong></td><td><strong>57</strong></td><td><strong>16.618%</strong></td><td>-</td></tr></tbody></table>

**House edge**

The following calculation shows that the average multiplier is 0.97944:

```
((100*0.2915)+(45*0.2915)+(20*0.583)+(12*0.583)+(10*0.583)+(5*0.2915)+(3*1.749)+(2*12.243))/100=0.97944
```

With the average multiplier, the house edge can be calculated and is 2.056% (`(1-0.97944)*100`).

**Odds**

The odds for BNB Vault are:

| Odds             | Outcome |
| ---------------- | ------- |
| Decimal odds     | 0.97944 |
| Return to Player | 97.944% |
| Probability odds | 48.972% |