Poké Radar: Difference between revisions

203 bytes removed ,  19 January 2018
Shiny probability is really better confined to that section. The intro sentence of that section mistakes the ceiling function for just parentheses, though
mNo edit summary
(Shiny probability is really better confined to that section. The intro sentence of that section mistakes the ceiling function for just parentheses, though)
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If a [[Pokémon outbreak|swarm]] ends while a chain is in progress, or a Pokémon otherwise ceases to become available, then that Pokémon will continue to be available until the chain is broken.
If a [[Pokémon outbreak|swarm]] ends while a chain is in progress, or a Pokémon otherwise ceases to become available, then that Pokémon will continue to be available until the chain is broken.


The probability of encountering a Shiny Pokémon becomes maximized at a chain length of 40, at approximately 1/200. This is a substantial increase from the usual probability of 1/8192. Since up to four patches of grass appear each time the Poké Radar is used, and each has an independent 1/200 chance, the overall probability of finding at least one Shiny patch for each reset of the Poké Radar is about 1/50. It is possible, although very unlikely, for multiple Shiny patches to appear on one reset.<!-- There's a Smogon link and Youtube video somewhere that shows this, but I can't find it right now...--> Entering a Shiny patch will never break a chain.
If the Poké Radar forces a Pokémon to be Shiny due to its increased odds, the game will construct a [[personality value]] that fulfills the Shininess requirement.<ref>[http://www.smogon.com/ingame/rng/pid_iv_creation The Process of PID and IV Creation of Non-Bred Pokemon - Smogon University]</ref> It is possible, although very unlikely, for multiple Shiny patches to appear on one reset.<!-- There's a Smogon link and Youtube video somewhere that shows this, but I can't find it right now...--> Entering a Shiny patch will never break a chain. It is always possible for non-flashing patches to contain a Shiny Pokémon as well due to the normal, completely random chance of a Pokémon being Shiny.


One of the many functions of the [[Pokétch]] is to {{DL|Pokétch|Trainer Counter|display the current chain}} and the three best chains made so far.
One of the functions of the [[Pokétch]] is to {{DL|Pokétch|Trainer Counter|display the current chain}} and the three best chains made so far.


====Shiny probability====
====Shiny probability====
[[File:PokéRadarShinyProbability IV.png|thumb|right|The formula for the probability of patch being Shiny. 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 a patch being Shiny]]


Based on the formula depicted at right, the probability of a patch being Shiny 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. Since up to 4 grass patches can shake at a single time, this probability can be up to 4 times as high, giving the player about a 1/50 chance of finding a shiny patch at a chain length 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). While the probability of finding a Shiny patch increases as chain length increases, normal non-Shiny patches will always have the usual 1/8192 chance of containing a Shiny Pokémon.
The formula to the right describes the probability for a patch to contain a Shiny Pokémon, where n<sub>c</sub> is the length of the chain, up to a length of 40. The results of this formula are depicted in the table shown below. As the table shows, the odds of finding a Shiny Pokémon increase slowly at first, but eventually they increase by larger and larger amounts, until reaching the maximum of a 1/200 chance of finding a Shiny Pokémon for a chain of length 40 or greater. These odds do not exceed the odds of the [[Masuda method]] until a chain length of 33 is reached.


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:
Since up to four grass patches can shake at a single time, the probability of finding a Shiny Pokémon in a given use of the Poké Radar can be up to 4 times as high, giving the player a maximum of approximately a 1/50 chance of finding a Shiny Pokémon at a chain length of 40.


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<nowiki>*</nowiki>A Shiny patch cannot appear on a chain length of 0<!-- add Smogon link sometime-->, but all non-Shiny patches still have the usual 1/8192 chance of encountering a Shiny Pokémon.
<nowiki>*</nowiki>A chain length of 0 is the first use of the Poké Radar, and the Poké Radar cannot force a Pokémon to be Shiny at this point (which would result in a flashing patch)<!-- add Smogon link sometime-->; however, the patches still have the default 1/8192 chance of encountering a Shiny Pokémon.


====List of Radar-exclusive Pokémon====
====List of Radar-exclusive Pokémon====
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==On Bulbagarden forums==
==On Bulbagarden forums==
* [http://forums.bulbagarden.net/index.php?threads/shiny-pokemon-with-the-pokeradar.19695/ Shiny Pokémon with the Poké Radar]
* [http://forums.bulbagarden.net/index.php?threads/shiny-pokemon-with-the-pokeradar.19695/ Shiny Pokémon with the Poké Radar]
==References==
{{reflist}}