Probability Calculator

Calculate event probabilities

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About Probability Calculator

A probability calculator that handles single event probability, combined events (AND/OR), conditional probability, and odds-to-probability conversion. Shows complementary probability, expected occurrences, and visual probability bars. All calculations are client-side. Essential for statistics students, gamblers (for understanding odds), researchers, and anyone working with probability theory.

Probability Calculator Features

  • Single/multiple events
  • AND/OR logic
  • Odds converter
  • Complement
  • Visual bars
Probability measures how likely an event is to occur, expressed as a number between 0 (impossible) and 1 (certain). P(A) = favorable outcomes / total outcomes. Understanding probability is crucial in statistics, games, risk assessment, and decision-making.

How to Use

Calculate probabilities:

  • Single event: Favorable / Total outcomes
  • Combined: AND (multiply) or OR (add minus overlap)
  • Complement: P(not A) = 1 - P(A)

Key Formulas

  • P(A) = favorable / total
  • P(A AND B) = P(A) × P(B) (independent)
  • P(A OR B) = P(A) + P(B) - P(A AND B)
  • P(not A) = 1 - P(A)

Odds vs Probability

Odds 3:1 means 3 favorable vs 1 unfavorable = probability 3/4 = 75%. Probability 0.8 = odds 4:1 (4 favorable for every 1 unfavorable).

Step-by-Step Instructions

  1. 1Enter favorable outcomes.
  2. 2Enter total outcomes.
  3. 3View probability, percentage, and odds.
  4. 4Check complement probability.
  5. 5Try combined event calculations.

Probability Calculator — Frequently Asked Questions

What's the difference between odds and probability?+

Probability: favorable/total (e.g., 1/6 for rolling a 6). Odds: favorable/unfavorable (e.g., 1:5). Odds 1:5 = probability 1/6 ≈ 16.7%.

How do I calculate probability of multiple events?+

AND (both happen): multiply. P(A AND B) = P(A) × P(B) for independent events. OR (either happens): P(A OR B) = P(A) + P(B) - P(A AND B).

What does 'independent' mean?+

Two events are independent if one doesn't affect the other. Coin flips are independent. Drawing cards WITHOUT replacement is NOT independent.

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