I understood what you said. I'm sorry if I wasn't clear on my point.
But I think the chances of 5 star player is around 0.1 or lower, which would make the overall chance lower:
1 - (.5*.1*.1) = .995
0.995 ^ 48 = .786
1- .786 = .214
So 21.4% chance of there being such a player - significantly lower than "a little above 50%"
I have no proof that the chance is .1 to find a 5 star rating or potential, but:
1) it seems more logical and realistic (players with "very high skill" are rarer than "average/respectable skill" in real life; same with potential)
and
2) based on my experience, out of 15 star ratings: 1 5-ball = .066, out of 4 potential ratings: 0 5-ball
thats a combined 1/19 = .05 - that would give us a 6% chance of having such a player in the draft, but i wont consider this an accurate calculation or my best guess because of the small sample size. I will go with 21.4% instead.
i know my sample size is not very big. that being said, i scout players based on their baseline ranking, scouting all the 5 and 4 ballers first; so unless the baseline rankings are completely reversed or completely random, the probability or finding a 5 star rating will decrease as I keep scouting (into the 3 ball, 2 ball, 1 ball baseline rankings) - (this would make my 6% chance even lower if i used my sample.)
but yeah, ill go with ~20% instead of <6%.