

I only have the OSE SRD to hand, not the actual B/X rules, although I understand that they are largely the same: https://oldschoolessentials.necroticgnome.com/srd/index.php/Dungeon_Adventuring#Traps
Searching a 10’ square takes 10 minutes, you have 1-in-6 chance of finding the trap (elves and thieves have more) - whole not written there, I would say this is for a generic search. If you’re doing something particularly appropriate for discovering the trap, the chance should be higher or automatic.
When you trigger the trap, there is a 2-in-6 chance it actually goes off.
Re: Needle trap: my point was exactly about skill based play: The Tomb of Horrors is targeted at experienced players, who would almost certainly see the needle trap coming, given how prevalent they were in those days.
It’s worth mentioning Return to the Tomb of Horrors here. It frames the Tomb in a whole campaign. Although so far, I think the tomb itself is the weakest part of that book.