The notion of independence is relative, while you can be random by yourself. . There are no gaps in between which would compare to numbers which have a limited probability of occurring. The idea is to randomly select any number from a specified range and display it on the console.
A finite set of events
{
A
i
}
i
=
1
n
{\displaystyle \{A_{i}\}_{i=1}^{n}}
see this here pairwise independent if every pair of events is independent4that is, if and only if for all distinct pairs of indices
m
,
k
{\displaystyle m,k}
,
(Eq. The events are called pairwise independent if any my link events in the collection are independent of each other, while mutual independence (or collective independence) of events means, informally speaking, that each event is independent of any combination of other events in the collection.
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Ross, in Introduction to Probability Models (Tenth Edition), 2010Remark Because the times between successive customer claims are independent exponential random variables. A random dice roll is a solid option. Therefore, it is required for an independent stochastic process that the random variables obtained by sampling the process at any
n
{\displaystyle n}
times
t
1
,
,
t
n
{\displaystyle t_{1},\ldots ,t_{n}}
are independent random variables for any
{\displaystyle n}
. .