Probability Calculator

Calculate probabilities for various events and distributions with our easy-to-use calculator.

Two Events Probability Calculator

Normal Distribution Calculator

Understanding Probability Calculations

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. A probability of 0 indicates impossibility, while 1 indicates certainty.

Two Events Probability

When calculating probabilities for two events, we consider several key concepts:

  • Intersection (AND): The probability of both events occurring
  • Union (OR): The probability of either or both events occurring
  • Exclusive OR (XOR): The probability of exactly one event occurring
  • Complement: The probability of an event not occurring

Normal Distribution

The normal distribution is a continuous probability distribution that follows a bell-shaped curve. It's characterized by:

  • Mean (μ): The center of the distribution
  • Standard Deviation (σ): A measure of spread from the mean
  • Empirical Rule: Approximately 68% of data falls within 1σ, 95% within 2σ, and 99.7% within 3σ of the mean
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