If A1, A2, ... , A, are exhaustive and mutually exclusive events associated with a random experiment such that P(A; occurs) = P;, where p, + P2 + if the experiment is repeated n times, then the probability that A, occurs r¡ times, A2 occurs r, times, + Pk = 1, and .... Ag occurs r times is given by .... n! p{1x p2" ... P* .... where r + r2 + ... + rk =n.

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