Probability Calculator

Free online probability calculator evaluating odds for multiple events. Find exact P(A and B), P(A or B), and conditional likelihoods for both independent and mutually exclusive events.

P(A)
P(B)

Core Probability Mechanics

In statistics, probability acts as a measurement of exactly how likely an event is to occur relative to all possible outcomes. Using this engine, you can map independent, distinct, and interdependent chances explicitly.

  • Independent Events: When the outcome of Event A does not affect Event B. Our calculator multiplies their individual probabilities P(A) × P(B) to find the likelihood they both occur sequentially.
  • Mutually Exclusive Events: When two events cannot possibly happen at the same time (e.g., rolling a 1 and a 6 on a single die). The calculator maps their compound likelihood using P(A) + P(B).

Frequently Asked Questions

What does P(A and B) mean mathematically?

P(A and B) calculates the probability that both Event A and Event B happen simultaneously, assuming they are independent variables.

What input values are supported?

Probabilities must be input as decimals ranging between 0.0 (impossible) and 1.0 (certain). For example, a 50% chance is entered as 0.5.

Does the calculator support mutually exclusive events?

Yes! Our calculator cleanly separates mutually exclusive and non-exclusive events, providing the exact probability outputs directly on the page.

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