Statistik

Negative Binomial Probability Calculator

Easily calculate negative binomial probability online. Determine the probability of a specific number of failures before achieving a set number of successes in Bernoulli trials. Free, user-friendly, and accurate.

Calculate Negative Binomial Probability

Calculation Result

The probability of getting failures before successes, with a success probability of is:

Probability Visualization

Probability level:

Formula Used
$$P(X=k) = {\binom{k+r-1}{k}} \times p^r \times (1-p)^k$$

Understanding Negative Binomial Probability

The Negative Binomial Distribution calculates the probability of observing a specific number of failures before achieving a predetermined number of successes in a series of independent Bernoulli trials. Each trial has only two outcomes: success or failure, with a constant probability of success.

This tool is useful in scenarios where you\'re interested in the number of failures that occur before a certain number of successes are reached. For example, in sales, it could represent the number of no-sales before closing a certain number of deals.

Key terms:

  • r (Number of successes): The target number of successful outcomes.
  • p (Probability of success): The likelihood of success in a single trial (between 0 and 1).
  • k (Number of failures): The number of failures observed before achieving 'r' successes.

Learn more about Negative Binomial Distribution on Wikipedia and other statistical resources.