Calculate probability of events, combinations, permutations, and statistical analysis with our advanced probability calculator. Get instant accurate results for all your probability calculations.
Select calculation type and enter your values to calculate probability
Follow these simple steps to calculate probability with our advanced calculator
Choose from basic probability, combinations, or permutations based on your calculation needs.
Input the required numbers such as favorable outcomes, total outcomes, or items to choose from.
Click calculate to get accurate probability results with detailed explanations and formulas used.
Explore more mathematical and statistical calculators to help with your calculations
Probability is the measure of the likelihood that an event will occur. It's expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.
P(Event) = Number of Favorable Outcomes / Total Number of Outcomes
Used when order doesn't matter. Formula: C(n,r) = n! / (r!(n-r)!)
Used when order matters. Formula: P(n,r) = n! / (n-r)!
Get answers to common questions about probability calculations
For independent events, multiply their individual probabilities. For mutually exclusive events, add their probabilities. For dependent events, use conditional probability formulas.
Use combinations when order doesn't matter (like selecting team members). Use permutations when order matters (like arranging people in a line or assigning ranks).
No, probability values must always be between 0 and 1 (inclusive). A probability of 0 means the event is impossible, while 1 means it's certain to occur.
Conditional probability is the likelihood of an event occurring given that another event has already occurred. It's calculated as P(A|B) = P(A and B) / P(B).
Our calculator uses standard mathematical formulas and provides highly accurate results. However, for complex statistical analysis or critical decisions, we recommend consulting with a statistician.
Common examples include weather forecasting (30% chance of rain), medical testing (probability of disease), insurance risk assessment, lottery odds, and quality control in manufacturing.
To convert probability to percentage, multiply by 100. For example, a probability of 0.25 equals 25%. This makes it easier to understand and communicate probability results.
The law of large numbers states that as the number of trials increases, the actual results will converge to the expected probability. This is why casinos always profit in the long run despite individual wins.
Yes, our calculator is perfect for students and educators. It provides step-by-step solutions and explanations, making it an excellent learning tool for probability and statistics courses.