how to randomize sets in math equations ?

littlestudent

for example i have this :
F={1,2,3,4,5}
so F=1,2,3,4,5
but how to randomize the set ?
i want to say F=5,3,4,2,1 or 2,3,1,4,5 or ...

do i have to say like this? :
F=(1)/(2)/(3)/(4)/(5)

micromass

Some more information could be helpful. Why do you want to "randomize" things?? What is it you're trying to do?

littlestudent

i want to explain 2 Dice=F
the F is random of this set : {1,2,3,4,5,6}
what is the right way to say it ?
is this right ?
F={(1.2.3.4.5.6)} ???

Number Nine

Then all you're saying is that the roll of a die is a random variable that can take on values from 1 to 6.

littlestudent

so F={(1.2.3.4.5.6)} is the right format to say that ?
the "." do the random explanation ?

haruspex

A set, like {1, 2, 3, 4, 5, 6}, has no specific order. Neither does it imply anything about relative probabilities. A probability space is more than just the set of possibilities. If you mean them to be equally likely you should say so.
Btw 'random' does not mean equally likely. It just means not deterministic.

littlestudent

ok so F={1,2,3,4,5,6} is same as F={(1.2.3.4.5.6)} ?

update: let me correct myself. so if F={1,2,3} then F can equal (123) or (132) or (213) or ... right ?

micromass

No, it's not the same. Furthermore, I have not a single idea what you mean with that second notation.

What are you trying to do??

haruspex

Along with micromass, I have no idea what {(1.2.3.4.5.6)} means. I've never seen such a notation. And I don't know what you mean by F = (123) etc. F is a set, pure and simple, specifically, the set of possible outcomes from one trial.

Number Nine

No. You don't seem to understand the notion of a set.
F = {1, 2, 3} means that F, as a set, contains the elements 1, 2 and 3. There is no order implied. None. Sets have no notion of order, and the idea of "randomizing a set" makes no sense at all, nor does the notation "F = {(1.2.3)}".