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From my understanding of probability (not necessarily QM), a probability is only a probability because not all the function is known. I.e. if I tell you a computer program will display head half the time and tails half the time. You will not be able to tell me if it will show heads or tails will be displayed, but if I told you that when the computers clock is an even hour heads will be displayed and on odd hours tails will be displayed; then you will then be able to tell me for certain if the program will display heads or tails. This seems to tell me the reason for probability is that the entire equation is not known.

So is the reason of probability in QM because the probability function is not completely know or what is the reason?

Thanks