This calculator finds Binomial probabilities associated with a provided probability of success (p) and number of failures (k) until the r successes occur.

Enter the required values, then click the `Calculate`

button.

P(X = ):

P(X < ):

P(X ≤ ):

P(X > ):

P(X ≥ ):

## About the Negative binomial distribution

The negative binomial distribution is a discrete probability distribution that models the number of failures in a sequence of Bernoulli trials before a specified number of non-random successes (r) occurs.

Suf is a senior advisor in data science with deep expertise in Natural Language Processing, Complex Networks, and Anomaly Detection. Formerly a postdoctoral research fellow, he applied advanced physics techniques to tackle real-world, data-heavy industry challenges. Before that, he was a particle physicist at the ATLAS Experiment of the Large Hadron Collider. Now, he’s focused on bringing more fun and curiosity to the world of science and research online.