Probability distribution. Law of large numbers

Probability row of a discrete variable

For a discrete random variable

X

taking values

x_1,\ldots,x_k

with probabilities $p_i=P(X=x_i)$ , one requires: $0\le p_i\le 1,\qquad \sum_{i=1}^k p_i=1.$ The table

(x_i,p_i)

is called the law of distribution of

X

“Law” — not a law of nature, but a complete listing of probabilities of values

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