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Geometric Probability

Suppose we conduct a negative binomial experiment which results in one, and only one, success. The probability that a negative binomial experiment will result in only one success is referred to as a geometric probability and is denoted by g(x; p). The formula for geometric probability is given below.

Geometric Probability Formula. Suppose a negative binomial experiment consists of x trials and results in one success. If the probability of success on an individual trial is p and the probability of failure on an individual trial is q, then the geometric probability is:

g(x; p) = p * qx - 1

See also:   Tutorial: Negative Binomial Probability Distribution | Negative Binomial Calculator