Probability Calculator


Enter values and click Calculate to see results.

About Probability Calculator

The Probability Calculator helps you find the likelihood of an event or combination of events happening. It’s a powerful tool for students, statisticians, and anyone learning probability concepts like independent, dependent, and mutually exclusive events.

Common Probability Formulas

For a single event: P(A) = Favorable Outcomes ÷ Total Outcomes For two independent events: P(A ∩ B) = P(A) × P(B) For either event: P(A ∪ B) = P(A) + P(B) − P(A ∩ B)

These formulas help determine the chance of one or more events occurring. The probability value always lies between 0 and 1, or 0% to 100%.

Example:

Input: Find the probability of drawing a red card from a deck of 52 cards.

Output: There are 26 red cards, so P(A) = 26 ÷ 52 = 0.5 or 50%.

Steps to Use:

  1. Choose the type of probability (single, joint, or conditional).
  2. Enter the number of favorable outcomes.
  3. Enter the total number of outcomes.
  4. Click 'Calculate' to get the probability value.

Frequently Asked Questions

What is probability?

Probability measures how likely an event is to happen. It ranges from 0 (impossible) to 1 (certain) or 0% to 100%.

How do I calculate probability manually?

Divide the number of favorable outcomes by the total number of outcomes. Example: rolling a 6 on a die = 1 ÷ 6 ≈ 0.1667 or 16.67%.

What’s the difference between independent and dependent events?

Independent events do not affect each other (e.g., coin tosses). Dependent events influence the next event (e.g., drawing cards without replacement).

Can I use this calculator for conditional probability?

Yes. The calculator supports advanced formulas like P(A|B) = P(A ∩ B) ÷ P(B) for conditional events.

Where is probability used in real life?

It’s used in risk analysis, weather forecasting, games, business predictions, and data science modeling.