如何读取uniform_int_distribution的概率质量函数？

Question

uniform_int_distribution uses the following probability mass function :

P(i|a,b) = 1/(b-a+1), a <= i <= b

How does one read the LHS of the equation,ie: P(i|a,b) ?

Answer 1

This means "P (the chance) of outcome i, depending on parameters a and b, is (1/b-a+1) when i is in the range a to b, and zero outside that range".

It's uniform because all values of i between a and b are equally likely.

Answer 2

This means how far I assume that P is probability of occurrence of i , in between interval a and b. i couldnot go the range below a or higher than b