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the lottery is not in leafgreen.
You Win the lottery by luck and skills. But it's mostly luck that you need. To improve your chances, you can trade Pokemon with different ID's.
Answer One: Get really lucky and you might winAnswer Two: The lottery number is the same with the Pokemon's ID number, so the more Pokemon you have, the better possibility of winning a lottery.
keep doing it every day and u will eventually win
talk to the person there if you have a pokemon id. of 12345 you will get the master ball