Can I catch all Legendaries and Ultra Beasts with normal Pokeballs?

Question

My team doesn't have a Pokemon with False Swipe, just Thunder Wave and Sleep Power...

Answer 1

@18% HP for any Legendary (since they all have a catch rate of 3) is:

Without sleep:
You have a 3.245% chance of capturing it per ball. Thus, you have, statistically, at least a 50% chance of catching it within 22 balls and at least a 95% chance of catching it within 91 balls.

With sleep:
You have a 6.452% chance of capturing it per ball. Thus, you have, statistically, at least a 50% chance of catching it within 11 balls and at least a 95% chance of catching it within 45 balls.

Pheramosa, because I think it catch rate is still the lowest:

Without sleep:
You have a 4.402% chance of capturing it per ball. Thus, you have, statistically, at least a 50% chance of catching it within 16 balls and at least a 95% chance of catching it within 67 balls.

With sleep:
You have a 8.752% chance of capturing it per ball. Thus, you have at least a 50% chance of catching it within 8 balls and at least a 95% chance of catching it within 33 balls.

That is very low. Note that sleep is hard to use because they might wake up.
(I did 18% HP because that is about as close as you may get without false swipe)
It possible, just not as probable...

Source

Comments

Not all Legendary Pokemon have a catch rate of three. For example, Yveltal and Xerneas have a catch rate of 45.

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I mean a rough estimate: the box legendary pokemon are usually easier to catch, i was giving worst odds, essentially.

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Pheromosa is genderless.

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Magearna and Diancie are both genderless and usually referred to as female :/

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Just because a million people say a stupid thing doesn't mean you have to as well.

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It's easier and less cruel to refer to them as male or female, that's just my opinion on this.

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technically, it is gender unknown because they're either fungi genders or the scientists are just stupid, like oak, who can't even remember his grandson's name.

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Pooh. Who cares about Pokémon genders unless breeding? Just say something.

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Being too careful never hurts, right?