When something unexplained happens science does not accept the explanation "God done it". This thread is to examine why science accepts the explanation "Randomness done it".
Well, you're just about to answer your own question.
Quantum theory predicts a probability distribution for the particle's position in the well, and this is supported by experiment.
That would be why.
Is "randomness" a backdoor by which God can work his magic unscrutinized?
Well, I guess we all wondered what exactly has been keeping God so busy lately. Now we know. He's fooling physicists by making quantum mechanics look non-deterministic.
I guess everyone needs a hobby.