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

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

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@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:

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…

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