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Assuming there are 365 distinct birthdays
Assuming birthdays are uniformly distributed
Given a sample of 23 individuals
Define a collision to be the event that any two individuals share the same birthday
The probability that a collision occurs is greater than 50%.
(365 / 365) * (364 / 365) * (363 / 365) * ... * (343 / 365)
C(N, S) = 1 - N! / ((N - S)! * N^S)
BPN(N) = minimum number S such that C(N, S) ≥ 0.5
function C(N, S) [ var P = 1; for(var i = 0; i < S; i++) P *= (N - i) / N; return 1 - P; ]
and I can show you by using elementary mathematics, nothing beyond multiplication and division.
X X X X X
What's the chances that both their parents went to that movie, then concieved around the same time, then the babies were born at around the same time, then they both grew up, came to the same place and both volunteered for your experiment? I am no mathematician, but I expect the odds are astronomical.
Entanglement is delicate, rare, and short-lived.
you haven't convinced me that Synchronicity doesn't exist
Originally posted by TadeuszIndeed, theory can be detached from real life. Probability theory is purely theoretical and thus only applicable before taking any samples. What actually happens doesn't matter
As for your hypothetical: Even with astronomical odds against your hypothetical being chosen, it can still be chosen. Suppose you shuffle a standard deck of 52 cards using a machine with such power that each permutation is equally likely. You shuffle using the machine. Out come the cards, sorted by rank and suit. Would that surprise you? But it would have been equally likely to see some meaningless jumble of cards. The point is that we determine what is meaningful. Maybe the order Ace of Clubs, Seven of Diamonds, Jack of Diamonds, etc. is meaningful to me.
you haven't convinced me that Synchronicity doesn't exist....
That was never my intention in the first place.
I have already chosen to interpret the universe one way, and someone else may have chosen to interpret it a different way.
It is a belief thing. You start with the assumption that everything is random, I start with the assumption that it isn't.
Originally posted by TadeuszIt's quite a popular thing on which people disagree. A related question is: do we have free will? These are questions with no answers. All the same, I would like to hear your opinion: what does it really mean when some things are not random? Does it mean that there is a higher power with some measure of control over the universe?
What's the chances that both their parents went to that movie, then concieved around the same time, then the babies were born at around the same time, then they both grew up, came to the same place and both volunteered for your experiment? I am no mathematician, but I expect the odds are astronomical.