Let $(S,P)$ be a (finite) probability space. We associate to $(S,P)$ a quantity $n(S,P)$ as follows:

The probability of two randomly chosen events $A,B\subset S$ being independent is denoted by $n(S,P)$.

Is there a terminology for this quantity? Is it equivalent to some other well known terminology in probability theory? Can one generalize this concept to infinite sample spaces? (And a possible generalization to arbitrary measure spaces?)

What is this number for the experiment of rolling two different colored dice (the standard probability space this experiment generates)?

Let $(S,P)$ be a (finite) probability space. We associate to $(S,P)$ a quantity $n(S,P)$ as follows:

The probability of two randomly chosen events $A,B\subset S$ being independent is denoted by $n(S,P)$.

Is there a terminology for this quantity? Is it equivalent to some other well known terminology in probability theory? Can one generalize this concept to infinite sample spaces? (And a possible generalization to arbitrary measure spaces?)

What is this quantity for the sample space associated to the experiment of rolling two different colored dice (the standard probability space this experiment generates)?

Let $(S,P)$ be a (finite) probability space. We associate to $(S,P)$ a quantity $n(S,P)$ as follows:

The probability of two randomly chosen events $A,B\subset S$ being independent is denoted by $n(S,P)$

Is there a terminology for this quantity? Is it equivalent to some other well known terminology in probability theory?Can one generalize this concept to infinite sample spaces?(and a possible generalization to arbitrary measure space)?

What is this number for the experiment of rolling two different colored dice (the standard probability space this experiment generate)?

Let $(S,P)$ be a (finite) probability space. We associate to $(S,P)$ a quantity $n(S,P)$ as follows:

The probability of two randomly chosen events $A,B\subset S$ being independent is denoted by $n(S,P)$.

Is there a terminology for this quantity? Is it equivalent to some other well known terminology in probability theory? Can one generalize this concept to infinite sample spaces?  (And a possible generalization to arbitrary measure spaces?)

What is this number for the experiment of rolling two different colored dice (the standard probability space this experiment generates)?

Let $(S,P)$ be a (finite) proability space. We associate to $(S,P)$ a quantity $n(S,P)$ as follows:

The probability of two randomly chosen events $A,B\subset S$ being independent is denoted by $n(S,P)$

Is there a terminology for this quantity? Is it equivalent to some other well known terminology in probability theory?Can one generalize this concept to infinit sample spaces?(and a possible generalization to arbitrary measure space)?

What is this number for the experiment of rolling two different couler dice(the standard probability space this experiment generate)?

Let $(S,P)$ be a (finite) probability space. We associate to $(S,P)$ a quantity $n(S,P)$ as follows:

The probability of two randomly chosen events $A,B\subset S$ being independent is denoted by $n(S,P)$

Is there a terminology for this quantity? Is it equivalent to some other well known terminology in probability theory?Can one generalize this concept to infinite sample spaces?(and a possible generalization to arbitrary measure space)?

What is this number for the experiment of rolling two different colored dice  (the standard probability space this experiment generate)?