Probability Calculator

Calculate probabilities for various distributions with advanced options

Select Distribution

Parameters

(0 to 1)
(0 to 1)

Probability Type

Results

Enter parameters and click "Calculate" to see results

0.0000 0.00%

How to Use the Probability Calculator

The binomial distribution describes the number of successes in a fixed number of independent trials, each with the same probability of success.

Example: If you flip a coin 10 times, what's the probability of getting exactly 5 heads?

  • Number of trials (n): 10
  • Probability of success (p): 0.5
  • Select P(X = x) and enter x = 5

The normal distribution is a continuous probability distribution that is symmetric and bell-shaped.

Example: What's the probability that a value is less than 1 standard deviation above the mean?

  • Mean (μ): 0
  • Standard Deviation (σ): 1
  • Select P(X ≤ x) and enter x = 1

The Poisson distribution gives the probability of a given number of events occurring in a fixed interval of time or space.

Example: If calls come in at an average rate of 3 per hour, what's the probability of getting exactly 5 calls in an hour?

  • Average Rate (λ): 3
  • Select P(X = x) and enter x = 5