Pokemon Gen 5 Catch Rate Calculator

Pokémon Gen 5 Catch Rate Calculator

Optimized for Black, White, Black 2, and White 2

Legendaries: 3, Common: 45-255
None Sleep / Freeze Paralyze / Burn / Poison
Poké Ball / Luxury Ball / Premier Ball Great Ball Ultra Ball Dusk Ball (Cave/Night) Quick Ball (Turn 1) Net Ball (Water/Bug) Repeat Ball (Already Caught) Level Ball (Level Match) Timer Ball (Turn 10+) Master Ball

Catch Probability

0%

How the Gen 5 Catch Formula Works

In Generation 5 (Pokémon Black, White, Black 2, and White 2), the catch rate formula underwent specific adjustments to account for internal math changes and the introduction of the Critical Catch mechanic. This calculator uses the official math used by the DS hardware.

The Core Formula

The game first calculates a value 'a':

a = [( (3 * MaxHP – 2 * CurrentHP) * Rate * Ball ) / (3 * MaxHP)] * Status

Calculation Parameters

  • Max HP & Current HP: Reducing a Pokémon to 1 HP significantly increases 'a'.
  • Base Catch Rate: A hidden value for every species. For example, Zekrom and Reshiram have a catch rate of 45 in BW, while most legendaries like Victini or Kyurem have a rate of 3.
  • Status Multiplier: Sleep and Freeze are the most effective, providing a 2x bonus. Paralyze, Burn, and Poison provide a 1.5x bonus.
  • Ball Bonus: Different balls have different multipliers based on conditions (e.g., Dusk Ball provides 3.5x at night).

Shake Checks

If 'a' is less than 255, the game calculates a shake probability 'b':

b = 65536 / (255 / a)^0.25

The Pokémon is caught if four random numbers generated by the game are all less than 'b'. This is why the ball shakes four times before a successful capture.

Examples for Gen 5

Example 1: Catching Kyurem
Kyurem has a base catch rate of 3. If it is at 1/100 HP, asleep, and you use a Dusk Ball at night:

  • Max HP: 100, Current HP: 1
  • Status: 2.0 (Sleep)
  • Ball: 3.5 (Dusk Ball)
  • Result: Approximately ~7.5% per ball.

Example 2: Catching a Level 5 Patrat
Patrat has a base catch rate of 255. Even at full health with a standard Poké Ball, you have a nearly 100% chance of success because 'a' will exceed 255 immediately.

function calculateGen5CatchRate() { var maxHP = parseFloat(document.getElementById('maxHP').value); var currentHP = parseFloat(document.getElementById('currentHP').value); var catchRate = parseFloat(document.getElementById('baseCatchRate').value); var ballMod = parseFloat(document.getElementById('ballModifier').value); var statusMod = parseFloat(document.getElementById('statusModifier').value); // Validation if (isNaN(maxHP) || isNaN(currentHP) || isNaN(catchRate)) { alert("Please enter valid numbers for HP and Catch Rate."); return; } if (currentHP > maxHP) { currentHP = maxHP; } // Master Ball logic if (ballMod >= 255) { displayResult(100); return; } // Step 1: Calculate 'a' // Gen 5 Formula: a = (((3 * MaxHP – 2 * CurrentHP) * CatchRate * BallModifier) / (3 * MaxHP)) * StatusModifier var a = (((3 * maxHP – 2 * currentHP) * catchRate * ballMod) / (3 * maxHP)) * statusMod; var finalProb = 0; if (a >= 255) { finalProb = 100; } else { // Step 2: Calculate shake check value 'b' // b = 65536 / (255 / a)^0.25 var b = 65536 / Math.pow((255 / a), 0.25); // Step 3: Probability of passing 4 shake checks // Each check is b / 65536 var singleShakeProb = b / 65536; finalProb = Math.pow(singleShakeProb, 4) * 100; } displayResult(finalProb); } function displayResult(probability) { var resultArea = document.getElementById('resultArea'); var percentageDiv = document.getElementById('finalPercentage'); var avgDiv = document.getElementById('avgAttempts'); resultArea.style.display = 'block'; var formattedProb = probability.toFixed(2); if (probability >= 100) { formattedProb = "100"; } else if (probability < 0.01) { formattedProb = " 0) { var attempts = Math.ceil(100 / probability); avgDiv.innerText = "Average attempts needed: " + (probability >= 100 ? "1" : attempts); } else { avgDiv.innerText = "Probability too low to calculate attempts."; } resultArea.scrollIntoView({ behavior: 'smooth', block: 'nearest' }); }

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