Probability Calculator

Calculate various probability operations and relationships

Probability of Event A:

Probability of Event B:

Intersection P(A ∩ B) (Optional):

Probability Formulas

Basic Operations:

• Complement: P(A') = 1 - P(A)
• Union: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
• Intersection: P(A ∩ B) = P(A) × P(B|A)
• Conditional: P(A|B) = P(A ∩ B) / P(B)

Special Cases:

• Independent: P(A ∩ B) = P(A) × P(B)
• Mutually Exclusive: P(A ∩ B) = 0
• Certain Event: P(A) = 1
• Impossible Event: P(A) = 0