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(Discrete) Uniform distribution

Discrete distribution where all elements of a finite set are equally likely.

Bernoulli trial

An experiment whose random outcome can be either "success" or "failure".

Bernoulli distribution

Discrete distribution which takes value 1 with probability p and value 0 with probability q = 1 − p.

Binomial distribution

Describes the number of successes in a series of independent Bernoulli trials with the same probability of success.

Geometric distribution

Describes in which attempt the first success in a series of independent Bernoulli trials occurs.

Hypergeometric distribution

Describes the probability to draw k white balls in n draws without replacement from an urn containing K white balls and N balls in total.

Poisson distribution

Describes how likely it is that a certain number of events occurs in a time interval when the probability per time interval is known (and the possible number of events is "large").

Negative binomial distribution

Describes in which attempt the r-th success in a series of independent Bernoulli trials occurs.

Poisson binomial distribution

Describes the number of successes in a series of independent Bernoulli trials with different success probabilities.

Rademacher distribution

Discrete distribution which takes value 1 with probability 1/2 and value −1 with probability 1/2.

Categorical distribution

Generalization of the Bernoulli distribution for a discrete random variable with r possible outcomes having individual probabilities.

Multinomial distribution

Generalization of the binomial distribution for a series of independent trials with r outcomes having individual probabilities.