Question

what is the sum of empirical probability

Answer 1

Let S = {s₁, s₂, ... , s_n} be a sample space and let P(s_i) be the empirical probability of the event {s_i}. Then, the empirical probabilities of all the outcomes add up to 1, i.e.,

P(s₁) + P(s₂) + ... + P(s_n) = 1

Thus, the sum of empirical probability is 1.