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I have caught over 10 slakoth in emerald. I am looking for one with a Brave nature but all of them have calm or bold! what are the chances of getting one with brave?!

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Do you have any Pokémon with the ability synchronize and brave nature, if not you're going to have to breed a Slakoth until you get a brave or adamant natured one.

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The chance of catching a slakoth with the brave nature is 1/25. I would recommend not obtaining a slakoth with this probability.

To increase your chances, breed a female slakoth with a ditto that has the brave nature. Give ditto the everstone to hold during breeding. The everstone is found in Granite Cave in Dewford Town (source: memory).

Another method is to catch a Pokemon with the ability synchronize AND the brave nature. A good one is abra. Give abra the smoke ball if you have one, and then find a slakoth in the Petalburg Woods.

If you have a hard time, you can always ask around for someone with a spare Gen 3 brave ditto to trade you (I'm sure there's one of those out there).

Good luck!

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The chances are 1/25, because out of 25 possible Natures, Brave is only one of them. That's a 4% chance.

Source: Maths!

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