Geometric Distribution Calculator

Statistics

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Calculates probabilities for the number of trials needed to get the first success in Bernoulli trials.

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How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Probability of Success (p) and Number of Trials (k) in the units shown.

Step 2

Read Variance (Var[X]), Expected Value (E[X]), and Probability of First Success on Trial k in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Success Probability 0.2, Trials = 5

Probability of Success (p): 0.2; Number of Trials (k): 5

Variance (Var[X]): 20; Expected Value (E[X]): 5; Probability of First Success on Trial k: 0.08192

Success Probability 0.5, Trials = 2

Probability of Success (p): 0.5; Number of Trials (k): 2

Variance (Var[X]): 2; Expected Value (E[X]): 2; Probability of First Success on Trial k: 0.25

Success Probability 0.8, Trials = 1

Probability of Success (p): 0.8; Number of Trials (k): 1

Variance (Var[X]): 0.3125; Expected Value (E[X]): 1.25; Probability of First Success on Trial k: 0.8

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