I read a lot of discussions about the box odds and chasing the best player out of it. I decided to provide a small table, which answers this question.
Marked in the table is the number of Baseball's Back boxes you have to purchase to be 95% sure to get Juan Soto.
The formula is log(1-percentagesure)/log(1-percentageplayer).
You have a 1.2% chance to get Soto in a single box; it follows log(0.05)/log(0.988)=248.14. You have to purchase 249 boxes for a 95% chance to get him, which equals 149,400 gold.
Hope it helps everyone, who is chasing a player.