You don't know what is going to happen, because the machine isn't going to produce the exact same results.
Why would it not, everything is exactly the same if you went back in time.
If that were the case, why doesn't the machine produce the same numbers every week?
Because everything is not the same. The balls are different, the timing is different.
Just because it produced the numbers last Saturday in one pattern, doesn't mean if you went back in time you could reproduce the exact same results
That's exactly what it means provided you don't change anything in the past.
each time a program is run to reach a pseudo-random number, it isn't going to produce the same result
It is if every condition is exactly the same.
And you're ignoring the fact that the machine could be the ping pong ball variety.
No i'm not, the computer was an example. I already explained why a ping pong ball version would be the same, the balls are the same position, the person is pressing it at the same time, and unless you change one of these, it's going to keep happening that way no matter how many times you go back.
How can that be anything but random?
You just said why. "a ball being pulled out at a given interval"
Are you going to tell me that the balls will strike each other in the exact same place on two separate occassions?
Yes, if all the conditions are the same.
That I would love to see. Someone would have to be incredibly skilled (some would say freakishly skilled) to reproduce the exact force, angle etc. to enable an identical result to the first throw.
They wouldn't need to. If you went back in time, and they were still there thinking that this was first time they've ever done this, why would they have changed any sort of their movement? If someone punched a wall and broke his hand, you go back 5 seconds, the guy punches the wall the exact same way, you go back 5 seconds again, the guy punches the wall the exact same way. The guy doesn't know he punched the wall and broke his hand, his actions will always be exactly the same, and only thing to break this pattern is for your intervention.
Show me one example of someone throwing a die repeatedly and receiving the same number every time without the die being loaded.
I never said it would, though i just realized i misread your post. I though you just said it was impossible for a die to have the same number twice, but you meant it's impossible to repeat the exact same motions, which it's not. because if you went back in time, those motions never happened to begin with, and they're happening for their first time then. Given the exact same situation, why wouldn't the human brain make the same decision? When i say exact, i mean every conceivable factor, memories and time include. If you never had the past memory of going through the situation, why would you change the decision next time? Free choice hardly exists within the human brain, it's all circuits of nerves, and those circuits will react the same way under the same conditions.
So if I stick 49 numbered ping pong balls into a black bag, are you going to tell me you can pick out an exact number from that bag? Of course you can't, you are going to pick out a random ball.
Assuming i can't look at those balls, no, because i don't know which ball is which. I can pick out a ball, but my pick isn't random "I" picked it. "I" chose to pick that ball, from whatever possessed me to do that. It's also not random where the balls are in there, you put them in there. You may not have payed attention where each went, but your actions aren't random, you subconsciously decided how to put each ball in.