So to make sure we get this right, if you and I were the gambling type of men, and you offered me a reasonable payoff for rolling a "3" on two throws of individual dice, I would do better to throw one die on one occasion, and a second die on a second occasion, so that my chances of rolling a "3" would be 2/6.

I'd be a wise to not roll them both together, since by doing so the probability of seeing a "3" on a toss of two dice together, would only be 11/36.

By throwing them separately, I increase my chances of seeing a "3", by 1/36.

Does this rattle your mind ? Some of the most studied professors are stymied by this simple fact of this dimension when first exposed to it, even after they've been teaching 30 years. They're good at showing how smart they are by regurgitating, and that's about it.


Postulate:

"Like independent random events enacted simultaneously reduce the probability of particular statistical outcomes versus cases where like independent random events are carried out non-simultaneously."

This is why people who take a bunch of supplements decrease the probability that they will get well, versus the case where they were to ingest supplements separately.