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In LeafGreen I've been looking around in the Safaro Zone for Lucky Egg Chansey and I've caught maybe 3 total after finding like 30. I can never catch these guys, they always run away and Safari Balls never catch them. Is there an easier way to catch these guys? And don't say breeding because the only reason I want a Chansey is to get a Lucky Egg, and you can't get held items from breeding.

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I remember when I found a shiny Nidoran male on FireRed while trying to get a Lucky Egg Chansey.  It ran away... ;_;

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You'll be in the Safari Zone a long time :(

Chanseys are extremely rare and there is no Easy Way

Don't bother with throwing rocks and stuff. Just go at them with Safari Balls Any chansey you catch is rare. Just hope that the RNG is kind on you and hope to get a Chansey with a Lucky Egg

In area 1 Chanseys have a 1% chance in appearing D:
Plus only 5 % Chance of holding a Lucky Egg.

The chance of catching a Chansey is roughly 6%.
Therefore, the chance of you getting a Lucky Egg on any specific encounter is:
0.1x .05 x .06 =0.03=0.3 % Chance
You only have a 0.3% chance of getting a Chansey with a Lucky Egg D:

In Area 3 Chansey has a 4% Chance in appearing
Again, only 5% of holding a Lucky Egg.
04 x .05 x .06 =0.12=1.2 % Chance
You only have a 1.2% chance of getting a Chansey holding a Lucky Egg D:

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Safari balls only in area 3. Got it.
Yeah :)