Pokémon Catch Rate Formula Explained
University of Oxford Mathematician Dr Tom Crawford breaks down the Pokémon Catch Rate Formula for the Generation I video games. Explore the formula for yourself using this FREE interactive worksheet from Maple Learn: https://learn.maplesoft.com/d/AKFPLNCOIOEUKQFKDNOHASGUGOJRMJGQIKJOFOLTFPKKMRAGGKGLCFBSJFBUORJLITJLCJGSNRJMBIOSCIAMBQFILTOJEOARIMJN
Check your working using the Maple Calculator App – available for free on Google Play and the App Store.
Find out more about the Maple Calculator App and Maple Learn on the Maplesoft YouTube channel: https://www.youtube.com/channel/UCq2MmZQ8-kqEVAnmL2GSMsQ
The video begins with an explanation of the full catch rate formula, featuring maxima, minima and floor functions. This is then simplified to arrive at the more commonly used formula for the approximate probability of catching a wild Pokémon in the Generation I video games. Each variable is explained in turn, and the effects of status, HP, and ball type are discussed.
Next, the formula is derived using the catch algorithm for the game. This is outlined in detail on ‘Bulbapedia’ here: https://bulbapedia.bulbagarden.net/wiki/Catch_rate
Finally, using some visualisations from Maple Learn, the probability of success when using a great ball is compared to that for an ultra ball for a Pokémon with catch rate 45 (such as Butterfree) and a Pokémon with catch rate 3 (such as Zapdos). You can explore the formulae for yourself for FREE in the accompanying interactive Maple Learn worksheet here: https://learn.maplesoft.com/d/AKFPLNCOIOEUKQFKDNOHASGUGOJRMJGQIKJOFOLTFPKKMRAGGKGLCFBSJFBUORJLITJLCJGSNRJMBIOSCIAMBQFILTOJEOARIMJN
Full list of Pokémon catch rates on ‘Bulbapedia’ here: https://bulbapedia.bulbagarden.net/wiki/List_of_Pok%C3%A9mon_by_catch_rate
All in-game footage and images are copyright The Pokémon Company, Gamefreak and Nintendo. They are shown under a fair-use policy for the purposes of education and review.
Darkmurkrow video footage used under a Creative Commons licence.
Produced by Dr Tom Crawford at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall: https://www.seh.ox.ac.uk/people/tom-crawford
For more maths content check out Tom's website https://tomrocksmaths.com/
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With thanks to
The Pokémon Company
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