Our geometric distribution calculator tool quickly computes the probability of your first success on a given number of trials.

## Geometric Distribution Calculator

### How to Use the Calculator

To use the geometric distribution calculator, enter the probability of success (p) for a single trial and the number of trials (x) until the first success. Press the “Calculate” button to obtain the probability of exactly x trials until the first success.

### How the Calculator Works

This calculator uses the formula for the geometric distribution: *P(X = x) = (1 – p)^(x – 1) * p*, where *p* is the probability of success on a single trial, and *x* is the number of trials until the first success. Since it is a discrete probability distribution, it applies to scenarios where there are Bernoulli trials with two outcomes: success or failure.

### Limitations

The calculated result is a probability, so it will be a value between 0 and 1. The geometric distribution applies only to situations where each trial is independent and the probability of success is constant. Also, note that due to the nature of floating-point arithmetic, the results might not be perfectly accurate to many decimal places, but they are adequate for most practical uses.