Slots
Probability and Multiplier
There are 3 reels with 7 possible symbols to get in each reel, meaning 343 (7^3
) possible combinations. There are 57 winning combinations.
Outcome | Combinations | Probability |
---|---|---|
Win | 57 | 16.618% |
Loss | 286 | 83.382% |
Total | 343 | 100% |
To hit one specific combination is a 0.2915% chance (100/343
). In the table below all symbols are mentioned, except Angry NPC (seventh symbol, gives no win). The 16.618% win probability can be split up in the following outcomes:
Player outcome | Combinations | Probability | Multiplier |
---|---|---|---|
3 Soyjacks | 1 | 0.2915% | 100x |
3 Pepes | 1 | 0.2915% | 45x |
3 Doges or 2 Doges + 1 Pepe in right slot | 2 | 0.583% | 20x |
3 Yes Chads or 2 Yes Chads + 1 Pepe in right slot | 2 | 0.583% | 12x |
3 Bobo Dicaprio Bears or 2 Bobo Dicaprio Bears + 1 Pepe in right slot | 2 | 0.583% | 10x |
3 Brainlets | 1 | 0.2915% | 5x |
2 Brainlets in left and middle slot | 6 | 1.749% | 3x |
1 Brainlet in left slot | 42 | 12.243% | 2x |
Total | 57 | 16.618% | - |
Note: The multipliers of the Slots game can't be found in the code, because the multipliers have to be set when the contract gets deployed. Invoke the function Slots_GetMultipliers
on the deployed contract to verify the multipliers. You can also visit the explorer and go to the contract, then read theSlots_GetMultipliers
function. When opening the browser console it will give a 343 number sequence with the multipliers with which the probabilities can be calculated. This is the sequence:
This sequence can also be used to verify the multiplier that belongs to the slotID. Each number in the sequence represents a multiplier. The first number in the sequence is 'slotID 0' and the last one 'slotID 342'.
slotID 0 = '5';
slotID 1-6 = '3';
slotID 7-48 = '2';
slotID 49-113 = '0';
slotID 114 = '10';
slotID 115-116 = '0';
slotID 117 = '10';
slotID 118-170 = '0';
slotID 171 = '12';
slotID 172 = '0';
slotID 173 = '12';
slotID 174-227 = '0';
slotID 228-229 = '20';
slotID 230-284 = '0';
slotID 285 = '45';
slotID 286-341 = '0';
slotID 342 = '100'.
House Edge
The following calculation shows that the average multiplier is 0.97944:
With the average multiplier, the house edge can be calculated and is 2.056% ((1-0.97944)*100
).
Odds
With the above in mind, the odds for Slots are:
Odds | Outcome |
---|---|
Decimal odds | 0.97944 |
Return to Player | 97.944% |
Probability odds | 48.972% |
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