Bayes' Theorem Calculator

Calculate conditional probabilities using Bayes' Theorem - A powerful tool in probability theory and statistics.

Result:

Understanding Bayes' Theorem

The Formula

P(A|B) = P(B|A) × P(A) / P(B)

Where:

  • P(A|B) is the posterior probability
  • P(B|A) is the likelihood
  • P(A) is the prior probability
  • P(B) is the probability of evidence

Real-World Applications

Bayes' Theorem is used in:

  • Medical diagnosis
  • Machine learning and AI
  • Risk assessment
  • Data analysis