Poké Radar: Difference between revisions

→‎Shiny Probability: It is less ambiguous to say that the probability of encountering a shiny "patch" increases. The general probability of finding a shiny Pokémon in any patch does not.
m (→‎In Diamond, Pearl, and Platinum: There's not that much room for confusion if you just read even halfway mindfully)
(→‎Shiny Probability: It is less ambiguous to say that the probability of encountering a shiny "patch" increases. The general probability of finding a shiny Pokémon in any patch does not.)
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====Shiny Probability====
====Shiny Probability====
[[File:PokéRadarShinyProbability_IV.png|thumb|right|The formula for the probability of finding a Shiny Pokémon. n<sub>c</sub> is the number of Pokémon in the chain, up to 40.]]
[[File:PokéRadarShinyProbability_IV.png|thumb|right|The formula for the probability of finding a Shiny patch. n<sub>c</sub> is the number of Pokémon in the chain, up to 40.]]


Based on the formula depicted at right, the probability of encountering a Shiny Pokémon can be approximated as 1/8000 for a chain of 1, 1/7800 for a chain of 2, 1/7600 for a chain of 3, and so on up to 1/200 for a chain of 40. Note that it takes a while for a chain to start paying off - the probability does not exceed that of the [[Masuda method]] until a chain length of 33. After that point, the probabilities start to increase very strongly, with a chain of 40 having double the probability (1/200) compared to a chain of 39 (1/400).
Based on the formula depicted at right, the probability of encountering a Shiny patch can be approximated as 1/8000 for a chain of 1, 1/7800 for a chain of 2, 1/7600 for a chain of 3, and so on up to 1/200 for a chain of 40. Note that it takes a while for a chain to start paying off - the probability does not exceed that of the [[Masuda method]] until a chain length of 33. After that point, the probabilities start to increase very strongly, with a chain of 40 having double the probability (1/200) compared to a chain of 39 (1/400).


As all Pokémon games prior to Generation V perform calculations strictly with integers, there exist some roundoff errors in the probability determination (as noted by the ceiling function in the formula). A game-accurate list of probabilities for each chain is as follows:
As all Pokémon games prior to Generation V perform calculations strictly with integers, there exist some roundoff errors in the probability determination (as noted by the ceiling function in the formula). A game-accurate list of probabilities for each chain is as follows:
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