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[[File:Slot Machine Rewards.png|right|340px]]
[[File:Slot Machine Rewards.png|right|340px]]
'''Slot Machines''' are a mini-game found in the [[Casino]].
'''Slot Machines''' are a mini-game found in the [[Casino]].
The player can bet either 10 or 100 Qi coins when using a slot machine. If the results match one of the winning lines, the player receives a multiple of their bet. If there is no match the player loses their bet.
The player can bet either 10 or 100 Qi coins when using a slot machine. If the results match one of the winning lines, the player receives a multiple of their bet. If there is no match the player loses their bet.
|2500
|2500
|}
|}
This is adjusted multiplicatively by daily Luck, increasing by 20% at best or decreasing by 20% at worst with the [[Special Charm]] adding 5%. Food buffs add 8% for every point of Luck (''e.g.,'' if daily Luck is max and luck from food is 3 then the chance to get 1 cherry is 20% * (1 + 0.2 + 0.24) = 28.8%).
==Expected Value Calculation==
To calculate the expected net gain or loss from playing the slot machine, we use the formula:
'''Net Expected Gain/Loss = (B × Σ(P<sub>i</sub> × M<sub>i</sub>)) - B'''
Where:
* ''B'' = Bet amount (in units)
* ''P<sub>i</sub>'' = Probability of the i-th outcome
* ''M<sub>i</sub>'' = Multiplier for the i-th outcome
* ''Σ'' = Sum over all possible outcomes (i=1 to n)
After accounting for the following:
'''Net Expected Gain/Loss = B × ((0.2 × 2) + (0.1 × 3) + (0.08 × 5) + (0.01 × 30) + (0.003 × 80) + (0.002 × 120) + (0.0025 × 200) + (0.0009 × 500) + (0.0006 × 1000) + (0.001 × 2500)) - B'''
Which simplifies to:
'''Net Expected Gain/Loss = B × 5.93 - B = B × (5.93 - 1)'''
Then reducing to:
'''Net Expected Gain/Loss = B × 4.93'''
To simplify, if you spend {{price|100|Qi}} on a spin you can expect a net gain of {{price|493|Qi}} per spin!
==References==
==References==