Probability

Let be a probability value:

Suppose something has a probability, , of being observed. As the number of tries: approaches infinity we expect successes. This can be written as:

We can find the probability of the compliment of a set using the probability of the set itself.

For is a set:

We can find the probability of the union of two sets by adding their probabilities and subtracting the probability of their intersection:

For sets and ,

For is the domain:

If each element in a set has equal measure (equal individual probability) then that element's probability is the inverse of the domain's cardinality.

where and is the domain