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I wonder if there’s a way, from a sequence of 10 numbers I can predict the supposed next 10 numbers. These 10 numbers are in a range from 0 to 100.
Explaining the situation better:
Every day 10 numbers will be generated randomly. I would like to take the last 3 days (or more if necessary) and "predict" the supposed next 10 numbers tomorrow for example.
Is there any way?
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Since the generation is random and independent of the previous ones, there is no way to predict the next sequence.
What we can do is determine the probability of the next sequence being equal to an already output.
The number of possible combinations of 10 numbers taken from a set of 100 can be calculated by the following: formula:
The result obtained for this case is: 17310309456440.
The probability of exiting a given sequence is: 1/17310309456440.
The probability of an identical sequence to one that has already left is: n/17310309456440.
Being n the number of different sequences already output.
After 3 days the probability of exiting an equal sequence is 3/17310309456440 which is still very small: 1/5770103152146.
With the increasing number of outputs the probability of exiting a repeat increases, but this fact (having outputs sequences) does not influence the next output.
The probability of exiting a given sequence remains 1/17310309456440.
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Eventually it can but depends on a number of factors. If they are random, there is no way. Well, it may even have depending on how it is implemented. But it is something extraordinarily complex, I doubt you will give an answer here that really answers this completely. But you may be mistaken. Computing in the deeper meaning of the word is not my strong, I’m more an engineer.
– Maniero