Please help what term to use for the following issue.(adsbygoogle = window.adsbygoogle || []).push({});

Given a set X = { x1, x2, ..., x_n } and a probability distribution on it P (X) = { p (x1), p (x2), ..., p (x_n) }.

Given a division of the set Х on non-overlapping subsets Х1, Х2, ... Х_m, so:

X1 U X2 U ... U X_m = X

Is there a term for the probability distribution on the set of the subsets X' = { X1, X2, ..., X_m }:

P (X') = { p (X1), p (X2), ..., p (Х_m) }, where p (Xi) - the sum of probabilities of all x in Xi?

Thank you in advance.

It seems it is well known issue, for example, say we have a dice with uniform probability 1/6 for each number and we are interested in two events: (A) having 1 or 2 and (B) having 3 or 4 or 5 or 6.

Then p (A) = 2/6 and p (B) = 4/6 and the probability distribution on the set { A, B } is: { 2/6, 4/6 }.

So is there a name for this probability distribution?

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# Please help what term to use

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