Let's assume we're living in a mechanical deterministic world. Now do you agree that(adsbygoogle = window.adsbygoogle || []).push({}); any uncertainty is a result of lack of knowledge?

We flip a symmetric coin. The equations of movement are deterministic, but theoutcomeis uncertain, with probability 50% tail or head. Thus, it's theinitial statethat is unknown and makes the uncertainty. How is it that the initial state is in 50% of times in favor of tail and 50% of time in favor of head?

Now, thisinitial statewhich comprises of the initial velocity vector, initial position, air turbulence, etc... is itself anoutcomeof the past deterministic processes that has happened through deterministic equations, but with uncertain2nd levelinitial statethat has been with probability 50% in favor ofthat leads to head, and 50% in favor ofinitial stateinitial statethat leads to tail.

We can continue this questions infinitely or go back to the beginning of the world. my question is, where does this 50-50 distribution (or any other PDF in general) comes from?

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# Explaining Probabilities in a deterministic world

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