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:

5, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100

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:

((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

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%