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Probability Calculator

Instantly calculate and visualize Normal, Binomial, and Poisson distributions. A powerful tool for statistics, data analysis, and learning.

Normal Distribution

Binomial Distribution

Poisson Distribution

Select Distribution

Parameters

Distribution Graph

Enter valid parameters to see the graph.

Probability Result

Waiting for valid input...


Z-Score Calculator (Normal Distribution)

Calculate the Z-score and probability for a raw data point (x) in a normal distribution.

Results

Z-Score: N/A

P(Z ≤ z): N/A


Empirical Rule (68-95-99.7%) Calculator

See the data ranges for 1, 2, and 3 standard deviations from the mean in a normal distribution.

Ranges

Enter a mean and standard deviation to see the ranges.


Probability of Two Events

To find the union and intersection of two **independent** events.

Results

P(A ∩ B) (A and B): N/A

P(A ∪ B) (A or B): N/A


Probability Solver for Two Events

Provide any 2 values to calculate the rest of the probabilities of two **independent** events.

Calculated Probabilities

pA: 0.5000

pB: 0.5000

pA': N/A

pB': N/A

pA and B: N/A

pA or B: N/A

pA delta B: N/A

p neither: N/A


Probability of a Series of Events

Calculate the probability of events occurring in a series of independent trials.

Results

P(All Occur): N/A

P(None Occur): N/A

Demystifying Probability with Our Tool

Probability and statistical distributions are essential for data analysis, machine learning, and scientific research. Our tool helps you master fundamental concepts like the Normal, Binomial, and Poisson distributions. Use the calculators for instant results and step-by-step clarity on core statistical principles.

Frequently Asked Questions

What is a Normal Distribution?
What are the key differences between Normal, Binomial, and Poisson distributions?
What is a Z-score and why is it used?
What is the Empirical Rule?
How can this tool help me with probability problems?