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== Pokémon probabilities in Brawl ==
== Pokémon probabilities in Brawl ==
From [[Poké Ball#Pokémon in Super Smash Bros. Brawl]]. I'm translating these relative frequencies into actual probabilities. I'm currently mathing.
From [[Poké Ball#Pokémon in Super Smash Bros. Brawl]]. I'm translating these relative frequencies into actual probabilities. I'm currently mathing.
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{|class="wikitable sortable"
{|class="wikitable sortable"
|-
|-
!Pokémon!!Relative frequency!!Effective probability
!Pokémon!!Relative frequency
|-
|-
|[[Bellossom]]||30||
|[[Bellossom]]||30
|-
|-
|[[Bonsly]]||30
|[[Bonsly]]||30
|-
|-
|[[Celebi]]||0||586/288 898 = 1/493
|[[Celebi]]||0
|-
|-
|[[Chikorita]]||30
|[[Chikorita]]||30
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|[[Ho-oh]]||3
|[[Ho-oh]]||3
|-
|-
|[[Jirachi]]||0||586/288 898 = 1/493
|[[Jirachi]]||0
|-
|-
|[[Kyogre]]||5
|[[Kyogre]]||5
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|[[Metagross]]||30
|[[Metagross]]||30
|-
|-
|[[Mew]]||0||586/288 898 = 1/493
|[[Mew]]||0
|-
|-
|[[Moltres]]||4
|[[Moltres]]||4
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|}
|}


=== Method ===
-->
Three of the Pokémon (let's call these the "rare") have a relative frequency of 0, which is actually a probability of 1/493. Together their probability is 3/493; all the other Pokémon thus have a combined probability of 1 - 3/493 = 490/493.
 
The combined relative frequency of the non-rare is 586, so the combined probability can be expressed as (490*586)/(493*586), somewhat trivial but it will be useful later on. 493 and 586 are relatively prime, so the lowest common denominator is 493*586 = 288 898.
 
A non-rare has a proability of (Relative frequency)*490/288 898, or equally (Relative frequency)*245/144 449. As an example, a relative frequency of 1 gives a probability of 245/144 449, or ~0.17%.

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