Bernoulli Distribution Probability

Introduction to Bernoulli Distribution Probability

The Bernoulli distribution is a discrete probability distribution that represents the probability of success (x = 1) or failure (x = 0) in a single Bernoulli trial, where the probability of success is represented by the parameter p. The formula calculates the probability of a specific outcome x for a given probability p.

Parameter usage:

• p = probability of success
• x = specific outcome (0 for failure, 1 for success)

Output:

• P(X=x) = probability of the specific outcome

Data validation

The probability p should be between 0 and 1, and the outcome x should be either 0 or 1.

Summary

This calculator computes the probability of a specific outcome in a single Bernoulli trial based on the given probability of success.