Probability Calculator
Calculate probabilities for various scenarios including two events, series of independent events, and normal distributions
Calculate probabilities for various scenarios including two events, series of independent events, and normal distributions.
Probability of Two Events
To find out the union, intersection, and other related probabilities of two independent events.
Please input values between 0 and 1.
Probability Solver for Two Events
Please provide any 2 values below to calculate the rest probabilities of two independent events.
Please input values between 0 and 1.
Probability of a Series of Independent Events
Probability of a Normal Distribution
Use the calculator below to find the area P shown in the normal distribution, as well as the confidence intervals for a range of confidence levels.
About Probability Calculations
Probability is a fundamental concept in mathematics and statistics that measures the likelihood of events occurring.
Key Concepts:
- • Union (A∪B): Probability of A or B or both occurring
- • Intersection (A∩B): Probability of both A and B occurring
- • Complement (A'): Probability of A not occurring
- • Symmetric Difference (AΔB): Probability of A or B but not both
Normal Distribution:
Applications:
- • Statistical analysis and research
- • Risk assessment and insurance
- • Quality control and manufacturing
- • Financial modeling and investments
- • Medical research and clinical trials
- • Machine learning and AI
Important Rules:
- • Probabilities range from 0 to 1
- • P(A') = 1 - P(A)
- • P(A∪B) = P(A) + P(B) - P(A∩B)
- • For independent events: P(A∩B) = P(A) × P(B)
- • Total probability of all outcomes = 1