Probability Calculator | Free Online Probability Solver


Probability Calculators

Event Probability Calculator
  • P(A ∪ B) = 0.0000
  • P(A ∩ B) = 0.0000
  • P(A’) = 1.0000
  • P(A|B) = 0.0000
Combinations Calculator

C(n, r) = 0

Permutations Calculator

P(n, r) = 0

Conditional Probability Calculator

P(A|B) = 0

Probability Calculator – Solve Probability Problems Instantly

Imagine you’re playing a card game, designing a quiz, or working on a statistics assignment. You need to know the chance of an event happening — but calculating it manually can be confusing, especially with multiple events, independent or dependent probabilities, or complex scenarios. That’s where a Probability Calculator comes in. It allows you to solve probability problems quickly, accurately, and effortlessly, without messy formulas or guesswork.


Why You Need a Probability Calculator

Probability is everywhere: in games, finance, risk assessment, exams, and daily life decisions. Understanding the likelihood of events can help you:

  • Make informed decisions — like knowing the odds in games or investments.
  • Improve performance in exams — quickly calculate probabilities for multiple-choice questions.
  • Analyze risks — useful for business, insurance, and project planning.
  • Save time and avoid errors — no need to manually compute fractions or complex combinations.

A reliable online calculator simplifies everything and gives instant results.


Inputs You Need to Provide

Most Probability Calculators ask for:

  • Number of favorable outcomes – The outcomes you consider “successful.”
  • Total number of possible outcomes – All possible outcomes of the experiment.
  • Event type – Single event, multiple events, independent, or dependent.
  • Optional parameters – If you want compound probability, you may enter probabilities of combined events.

Some advanced calculators allow you to calculate:

  • Complement probability – The chance of an event NOT happening.
  • Conditional probability – Probability when one event depends on another.
  • Multiple trials – Like flipping a coin multiple times or drawing multiple cards.

How the Probability Calculator Works

    
            
  1. Identify the experiment – Determine the event(s) you want to analyze.
  2.         
  3. Input data – Enter the number of favorable outcomes and total outcomes.
  4.         
  5. Select event type – Single, multiple, independent, or dependent.
  6.         
  7. Calculate – The calculator applies standard probability formulas.
  8.     
    

Basic Formula:

    

P(E) = Number of favorable outcomes / Total number of outcomes

    

For Multiple Independent Events:

    

P(A and B) = P(A) × P(B)

    

For Conditional Probability:

    

P(A|B) = P(A and B) / P(B)

    

View Results:

    

The probability is shown as a fraction, decimal, and percentage.

    

Example:

    

You want to know the probability of rolling a 3 on a standard six-sided die.

    
            
  • Favorable outcomes = 1 (the die shows 3)
  •         
  • Total outcomes = 6 (possible die faces)
  •     
    

P(3) = 1 / 6 ≈ 0.1667 ≈ 16.67%

    

For two independent dice, the probability of rolling a 3 on both dice:

    

P(3 on die 1 AND die 2) = 1 / 6 × 1 / 6 = 1 / 36 ≈ 2.78%

Frequently Asked Questions – Probability Calculator

Yes — it’s fully free and works online instantly.
No, it’s designed for beginners and advanced users alike.
Yes, you can calculate combined probabilities for independent or dependent events.
It’s the probability of an event given that another event has already occurred.
Yes, probabilities are displayed as fractions, decimals, and percentages.
Absolutely — any finite sample space can be analyzed.
The calculator uses exact formulas, so results are mathematically accurate.
Yes — it can calculate “not happening” probabilities quickly.
Yes, as long as you provide the number of favorable and total outcomes.
Definitely — it’s perfect for probability practice, homework, and test prep.