Say you pick two random straight lines in 3 dimensional euclidean space, what's the probability that they intersect?
Say you pick two random straight lines in 3 dimensional euclidean space, what's the probability that they intersect?
Ryan Baker
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Oliver Scott
0%
Kayden Gray
I got to answer with the classic: 50%. Either they intersect or then they don't.
Cameron Roberts
/thread
Angel Martin
Okay so how many times do you have to pick a random line before the probability of any two of them intersecting is nonzero?
Nicholas Myers
an uncountably infinite number of times
Samuel Reed
But doesn't that imply that intersecting straight lines in 3d euclidean space are impossible?
Hudson Butler
through random means yes.
are you implying choice is the same thing as random occurrence?
Aaron Phillips
>through random means yes.
That can only be true if random selection automatically exclude intersecting lines, which, being random, it shouldn't.
Also more pertinently, doesn't this imply that 1/infinity = 0? This can't be right either.
Caleb Brown
If you think [math] \frac{1}{\infty} \neq 0 [/math], why dont' you go through a mathematical proof to try and find a number smaller than [math] \frac{1}{\infty} [/math]
the only lines that intersect are the ones that share a planar cross section of 3D space. Can you tell me how many planar cross sections there are in 3D space, and what is the liklihood of selecting just one?