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==Calculation== | ==Calculation== | ||
{{incomplete|section|[[GO Battle League]] encounter multiplier?}} | |||
Upon a thrown Poké Ball successfully hitting a wild Pokémon, the game will calculate <math>P</math>, the probability of a successful capture.<ref>[https://pokemongo.gamepress.gg/catch-mechanics Catch Mechanics]</ref> | Upon a thrown Poké Ball successfully hitting a wild Pokémon, the game will calculate <math>P</math>, the probability of a successful capture.<ref>[https://pokemongo.gamepress.gg/catch-mechanics Catch Mechanics]</ref> | ||
<math>P = 1 - \Bigl(1 - \dfrac{baseCaptureRate}{2 \times CPM} \Bigr)^{ | <math>P = 1 - \Bigl(1 - \dfrac{baseCaptureRate}{2 \times CPM} \Bigr)^{modifier}</math> | ||
where | where | ||
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and | and | ||
:<math> | :<math>modifier = Ball \times Berry \times Throw \times Curveball \times Medal \times Encounter</math> | ||
where | where | ||
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** <math>x</math> if the Pokémon is encountered during the bonus challenge of a [[Raid Battle]] | ** <math>x</math> if the Pokémon is encountered during the bonus challenge of a [[Raid Battle]] | ||
*** <math>x</math> is estimated to be between 1 to 2, increasing based on the number of Premier Balls that have already been thrown<ref>[https://thesilphroad.com/science/raid-bosses-easier-catch-later-encounter Raid Bosses Are Easier to Catch Later in the Encounter | The Silph Road]</ref> | *** <math>x</math> is estimated to be between 1 to 2, increasing based on the number of Premier Balls that have already been thrown<ref>[https://thesilphroad.com/science/raid-bosses-easier-catch-later-encounter Raid Bosses Are Easier to Catch Later in the Encounter | The Silph Road]</ref> | ||
<!--Multiplier for GBL encounters?--> | |||
** 1 if otherwise | ** 1 if otherwise | ||
* <math>Medal</math> is based on the player's [[List of medals (GO)#Type-specific medals|type-specific medals]] pertaining to the wild Pokémon's type, and it equals | * <math>Medal</math> is based on the player's [[List of medals (GO)#Type-specific medals|type-specific medals]] pertaining to the wild Pokémon's type, and it equals | ||
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** if the wild Pokémon has two types, <math>Medal</math> will be the average of the above for each type | ** if the wild Pokémon has two types, <math>Medal</math> will be the average of the above for each type | ||
When capturing Pokémon using a peripheral device, such as the [[Pokémon GO Plus]] or [[Poké Ball Plus]], a regular Poké Ball will always be used with no bonus | When capturing Pokémon using a peripheral device, such as the [[Pokémon GO Plus]] or [[Poké Ball Plus]], a regular Poké Ball will always be used with no bonus modifiers applied, except <math>Medal</math>, if applicable. | ||
==Target ring colors== | ==Target ring colors== | ||
[[File:GO_Guide_Catch_4.png|150px|thumb|right|Colored target ring of Rattata at different sizes]] | [[File:GO_Guide_Catch_4.png|150px|thumb|right|Colored target ring of Rattata at different sizes]] | ||
The color of the target ring allows players to gauge the probability of a successful capture, factoring in all bonuses for < | The color of the target ring allows players to gauge the probability of a successful capture, factoring in all bonuses for <math>modifier</math> except for <math>Throw</math> and <math>Curveball</math>. Switching Poké Balls or feeding Berries may change the color of the ring. The greener the ring, the higher the catch rate; the redder it is, the lower the catch rate. | ||
{| class="roundy" style="margin:auto; text-align:center; background:#eef; border:3px solid #ccc; width:500px" | {| class="roundy" style="margin:auto; text-align:center; background:#eef; border:3px solid #ccc; width:500px" | ||
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==Examples== | ==Examples== | ||
===Poké Balls and Berries=== | ===Poké Balls and Berries=== | ||
Consider a wild {{p|Pikachu}} with 343 [[CP]], with an estimated [[Power Up]] level of 14. Pikachu has a base capture rate of 20% and a CP multiplier of 0.49985844 at level 14. Without any bonus | Consider a wild {{p|Pikachu}} with 343 [[CP]], with an estimated [[Power Up]] level of 14. Pikachu has a base capture rate of 20% and a CP multiplier of 0.49985844 at level 14. Without any bonus modifiers, the catch rate will be <math> \frac{20\%}{2 \times 0.49985844} \approx 20.006\%</math>. | ||
The following table shows what this Pikachu's catch rate would be if bonuses for Poké Balls and Berries were applied, assuming no bonuses from throws or medals. | The following table shows what this Pikachu's catch rate would be if bonuses for Poké Balls and Berries were applied, assuming no bonuses from throws or medals. | ||
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Consider a wild {{p|Tauros}} of 1252 CP, with an estimated Power Up level of 18. This means it will have a base capture rate of 30% and a CP multiplier of 0.56675452. Without any additional bonuses, the capture rate will be <math>\frac{30\%}{2 \times 0.56675452} \approx 26.47\%</math>. | Consider a wild {{p|Tauros}} of 1252 CP, with an estimated Power Up level of 18. This means it will have a base capture rate of 30% and a CP multiplier of 0.56675452. Without any additional bonuses, the capture rate will be <math>\frac{30\%}{2 \times 0.56675452} \approx 26.47\%</math>. | ||
The following table shows how the capture rate will be affected by throwing techniques, assuming no additional bonuses and only regular Poké Balls are used; throw bonus | The following table shows how the capture rate will be affected by throwing techniques, assuming no additional bonuses and only regular Poké Balls are used; throw bonus modifiers will be averaged between the highest and lowest possible values. | ||
{| class="roundy" style="margin:auto; text-align:left; background:#{{normal color}}; border:3px solid #{{normal color dark}}" | {| class="roundy" style="margin:auto; text-align:left; background:#{{normal color}}; border:3px solid #{{normal color dark}}" | ||
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Let's now consider a wild {{p|Abra}} that has 670 CP, estimated to be Power Up level 20. Given that Abra has a base capture rate of 50% and its CP multiplier is 0.59740001, the catch rate without bonuses will be <math>\frac{50\%}{2 \times 0.59740001} \approx 41.85\%</math>. | Let's now consider a wild {{p|Abra}} that has 670 CP, estimated to be Power Up level 20. Given that Abra has a base capture rate of 50% and its CP multiplier is 0.59740001, the catch rate without bonuses will be <math>\frac{50\%}{2 \times 0.59740001} \approx 41.85\%</math>. | ||
The following table shows the effect on catch rate via medals for each Poké Ball type, assuming no other bonus | The following table shows the effect on catch rate via medals for each Poké Ball type, assuming no other bonus modifiers. | ||
{| class="roundy" style="margin:auto; text-align:left; background:#{{psychic color}}; border:3px solid #{{psychic color dark}}" | {| class="roundy" style="margin:auto; text-align:left; background:#{{psychic color}}; border:3px solid #{{psychic color dark}}" | ||
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==Trivia== | ==Trivia== | ||
* For all species, the base capture rate is approximately equal to the probability of capture for a Level 14 Pokémon with no < | * For all species, the base capture rate is approximately equal to the probability of capture for a Level 14 Pokémon with no <math>modifier</math> bonuses. | ||
* The highest theoretical < | * The highest theoretical <math>modifier</math> that can be attained is ×47.6, which includes: | ||
** Using an Ultra Ball (×2.0) | ** Using an Ultra Ball (×2.0) | ||
** Feeding a Golden Razz Berry (×2.5) | ** Feeding a Golden Razz Berry (×2.5) |