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Undo revision 166655 by Bucket (talk)
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.
Daily [[Luck]] increases your chance of winning when using the slot machines, otherwise the results are randomly determined.
Daily [[Luck]] and the Luck buff from various food items can increase the chance of winning and the expected return when gambling. Otherwise, rolls are randomly determined.
==Winning lines==
There are 10 possible winning lines, each one giving different multipliers.
{| class="wikitable sortable"
|-
!Line
!Chance<ref name="slots"/>
!Multiplier
|-
|[[File:Cherry.png|32px]]
|20%
|2
|-
|[[File:Cherry.png|32px]][[File:Cherry.png|32px]]
|10%
|3
|-
|[[File:Parsnip.png|32px]][[File:Parsnip.png|32px]][[File:Parsnip.png|32px]]
|8%
|5
|-
|[[File:Large Milk.png|32px]][[File:Large Milk.png|32px]][[File:Large Milk.png|32px]]
|1%
|30
|-
|[[File:Rainbow Trout.png|32px]][[File:Rainbow Trout.png|32px]][[File:Rainbow Trout.png|32px]]
|0.3%
|80
|-
|[[File:Nautilus Shell.png|32px]][[File:Nautilus Shell.png|32px]][[File:Nautilus Shell.png|32px]]
|0.2%
|120
|-
|[[File:Melon.png|32px]][[File:Melon.png|32px]][[File:Melon.png|32px]]
|0.25%
|200
|-
|[[File:Cherry.png|32px]][[File:Cherry.png|32px]][[File:Cherry.png|32px]]
|0.09%
|500
|-
|[[File:Diamond.png|32px]][[File:Diamond.png|32px]][[File:Diamond.png|32px]]
|0.06%
|1000
|-
|[[File:Stardrop.png|32px]][[File:Stardrop.png|32px]][[File:Stardrop.png|32px]]
|0.1%
|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>
<ref name="slots">See <samp>Slots::setSlotResults</samp> in the game code.</ref>
</references>
==History==
{{History|1.4|Recalculated the way random number generation is done, removing repeating pattern exploits. All [[Casino]] games now slightly favor the player rather than the house.}}
[[Category:Mini-games]]
[[Category:Mini-games]]
[[de:Spielautomat]]
[[de:Spielautomat]]
[[es:Tragaperras]]
[[es:Tragaperras]]
[[fr:Machine à sous]]
[[it:Slot machine]]
[[ja:スロットマシン]]
[[ja:スロットマシン]]
[[ko:슬롯 머신]]
[[hu:Pénzbedobós automata]]
[[pt:Caça-níqueis]]
[[pt:Caça-níqueis]]
[[ru:Слот-машина]]
[[ru:Игровой автомат]]
[[zh:角子機]]
[[tr:Kumar Makinesi]]
[[zh:角子机]]