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Category Logic Games

Simulation Parameters

Target Pokemon

--- --- Base Rate: --

Game Generation

HP Percentage: 100%

Ball Type

Status Condition

Dark/Cave (Dusk Ball) Target is Water/Bug Fishing Encounter

Turn Count (Timer Ball): 1

Caught Species (Crit Capture): 0

Capture Probability

0.00%

Success Chance

Shake Resistance Check

0 Shakes

1 Shake

2 Shakes

3 Shakes

Critical Capture Chance

💡

Select a Pokemon to begin analysis.

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About

This tool is an advanced stochastic simulator designed for competitive and efficiency-focused Pokémon trainers. It replaces guesswork with precise mathematical modeling of the Capture Algorithm across all nine generations of the mainline series. Unlike basic calculators, this engine accounts for hidden variables such as Shake Checks, Critical Capture thresholds, and complex Ball Weightings (e.g., Turn Count, Cave Environments).

Understanding the exact probability (P) of a capture allows trainers to optimize resource management, specifically when dealing with Legendaries or Shiny Pokémon where failure consequences are high. The calculator dynamically adjusts its heuristic engine based on the selected Generation, as the underlying math shifts from the 8-bit integer logic of Gen 1 to the floating-point precision of Gen 9.

Formulas

The core capture mechanic for Generation 3 and 4 (the standard reference) utilizes the following formula to determine the modified catch rate A:

A = 3 \times HP max - 2 \times HP curr \times Rate \times Ball 3 \times HP max \times Status

Once A is calculated, the game performs four "Shake Checks". The probability of a single shake succeeding (P_shake) is:

P shake = 65536 \sqrt \sqrt 16711680 A

If A ≥ 255, the catch is guaranteed. For Generation 1, the logic relies on a simpler probability threshold T based on status and ball factor.

Reference Data

Ball Type	Modifier (M)	Condition	Gen Availability
Poke Ball	1.0	Standard	Gen 1-9
Great Ball	1.5	Standard	Gen 1-9
Ultra Ball	2.0	Standard	Gen 1-9
Master Ball	∞	Guaranteed Catch	Gen 1-9
Net Ball	3.5	Target is Water or Bug	Gen 3-9
Dusk Ball	3.0	Night or Cave	Gen 4-9
Quick Ball	5.0	First Turn Only	Gen 4-9
Timer Ball	1.0 - 4.0	Based on Turn Count	Gen 3-9
Nest Ball	1.0 - 4.0	Based on Target Level	Gen 3-9
Heavy Ball	+20 to 40	Additive mod based on Weight	Gen 2, 4-9

Frequently Asked Questions

Pokemon games use different internal formulas. Gen 1 uses 0-255 integer math with specific status bugs. Gen 3-4 uses the standard formula shown above. Gen 5+ introduces "Critical Captures" and modifies how HP thresholds affect the Shake Check.

When you throw a ball, the game calculates a "Shake Number". It then generates 4 random numbers. If the random number is less than the Shake Number, the ball shakes once. This happens 4 times. If all 4 checks pass, the Pokemon is caught. A failure on check 1 means 0 shakes.

Introduced in Gen 5, a Critical Capture bypasses the standard 4 shake checks and only requires 1 successful check. The chance of this occurring depends on your Pokedex completion. More caught species = higher Critical Capture chance.

No. This is a pervasive myth. The random number generation (RNG) is determined the moment the ball is thrown. No button inputs affect the outcome.

Heavy Balls do not use a multiplier (e.g., 2.0x). Instead, they add or subtract directly from the Base Catch Rate (BCR). If the Pokemon is light, it subtracts -20 from the rate. If extremely heavy, it adds +30 or +40.