you were using a specialty ball that was at 4.0, you would capture it.

Learn the secrets to capturing legendary Pokémon in Pokémon Platinum! Understand HP, status effects, and ball bonuses to increase your odds.

Alright, so you're probably wondering why catching those legendary Pokémon feels like such a monumental task. It's not just bad luck, there's actually some math behind it! Let's break down how capture rates work, using a legendary like Azelf as our example.

The core idea is that even when a legendary is at really low HP, like 1 HP, and you've got it paralyzed, the capture formula still makes it tough. Let's look at the numbers:

Imagine Azelf is at 148 HP, and you've managed to get it down to just 1 HP. You're using Ultra Balls, and Azelf is paralyzed. The capture rate for Azelf is 3.

Here's how the equation shakes out:

(3 x 148 - 2 x 1) x 3 x 2 / 3 x 148 x 1.5 = Final Solution

Let's break that down step-by-step:

1. First, calculate (3 x 148 - 2 x 1). That gives you (444 - 2), which equals 442.
2. Next, we have 442 x 3 x 2. This part equals 2652.
3. Now, divide that by 3 x 148. So, 2652 / 444. This rounds up to 6.
4. Finally, multiply that result by 1.5: 6 x 1.5 equals 9.

So, as you can see, even with all those favorable conditions, the final capture rate is still pretty low. This means that for legendaries, it often comes down to that random equation and a bit of luck.

A big thanks to Bulbapedia for their help with the capture rate formulas and bonuses!