Depends, If you are asking about going pro (d-league, NBA, euroleague) about 1 in 40,000 for d league and euro and 1 in 100,000 for NBA. if taller than 6' 6" odds are about 1 in 1,000 for d and euro and about 1 in 50,000 if you have skill along with height that also helps the odds.
BTW im 13 and i have an Adidas sponsorship so my odds are about 1 in 300 for d and euro an about 1 in 500 for nba. also dats how i know dis stuff
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Very very very slim, my teacher told me that thousands upon thousands upon thousands o people play Basketball and there is I think only around 500 players so really there's only like anywhere from 0.3-0.9 and that's very low you have to really good