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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Please help what term to use

**Physics Forums | Science Articles, Homework Help, Discussion**