Geometric Probability Calculator

Instructions: Use this Geometric Probability Calculator to compute Geometric distribution probabilities using the form below. Please type the population proportion of success p (a number between 0 and 1), and provide details about the event you want to compute the probability for (notice that the numbers that define the events need to be integer):

Population proportion (p) =
≤ X ≤
X ≤
X ≥

Geometric Probability Calculator

More about the geometric distribution probability so you can better use this calculator: The geometric probability is a type of discrete probability distribution \(X\) that can take random values on the range of \([1, +\infty)\). The random variable \(X\) is the number of trials required to get the first successes. For a value \(x \in [1, +\infty)\), the geometric probability is computed as follows:

\[ \Pr(X = i) = (1-p)^{i-1} \times p \]

Using the above geometric distribution calculator, we can compute probabilities of the form \(Pr(a \le X \le b)\), of the form \(\Pr(X \le b)\) or of the form \(\Pr(X \ge a)\). Type the appropriate parameters for \(p\) in the text box above, select the type of tails, specify your event and compute your desired geometric probability. If instead you need to compute binomial probabilities, you can use our binomial calculator instead. Another notable discrete distribution you may be interested in is the Negative Binomial distribution.

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