Probability Calculator

Our Probability, Combinations & Permutations Calculator allows you to solve problems related to probability, counting, and arrangements quickly. Calculate probabilities, factorials, permutations, and combinations with step-by-step results. Ideal for students, teachers, and anyone working on combinatorics or probability problems.

Frequently Asked Questions (FAQ) - Probability Calculator

What does a Probability Calculator do?

A Probability Calculator helps determine the likelihood of one or more events occurring. It uses mathematical formulas and statistical rules to calculate probabilities for independent, dependent, and mutually exclusive events.

How do I use the Probability Calculator?

Enter the total number of possible outcomes and the number of favorable outcomes. The calculator then computes the probability as a fraction, decimal, or percentage.

What is the formula for probability?

The basic formula for probability is: P(A) = Number of favorable outcomes / Total number of possible outcomes. The calculator uses this formula along with extensions for compound and conditional events.

Can it handle multiple events?

Yes. The calculator can compute probabilities for combined events — including “AND” (joint) and “OR” (union) probabilities — as well as independent and dependent event scenarios.

What’s the difference between independent and dependent events?

Independent events do not affect each other’s outcomes (e.g., flipping a coin twice). Dependent events are related, meaning the outcome of one influences the probability of another (e.g., drawing cards without replacement).

Can I calculate conditional probability?

Yes. The calculator supports conditional probability where one event’s probability depends on another. It uses the formula P(A|B) = P(A ∩ B) / P(B) to determine this value.

Does it work for combinations and permutations?

Yes. The calculator can incorporate combinations and permutations to find probabilities in scenarios like card draws, lotteries, and arrangements where order matters or doesn’t matter.

Can I calculate the probability of multiple outcomes?

Yes. You can input multiple favorable outcomes, and the calculator will add or multiply their individual probabilities based on the type of event relationship (mutually exclusive or not).

Can it display results in percentage format?

Absolutely. The calculator can display probabilities as fractions (e.g., 1/4), decimals (e.g., 0.25), or percentages (e.g., 25%) for easier interpretation.

Who can use the Probability Calculator?

It’s ideal for students, teachers, researchers, and professionals in fields like statistics, finance, gaming, and data analysis who need quick and accurate probability results.