Advanced 3-in-1 Probability Calculator Suite

Solve a wide range of common probability problems with our advanced, multi-mode calculator. This powerful suite includes three distinct tools: a Two-Event Probability Solver, a Binomial Probability Calculator for series of events, and a Normal Distribution Calculator. Designed for students, statisticians, and data analysts, this tool provides instant, detailed, and clearly-notated results for complex scenarios.

How It Works

Our calculator suite is designed to be a dynamic and intelligent problem-solving environment.

  1. Select a Calculator: Use the main dropdown to choose the type of probability problem you want to solve (Two Events, Binomial Series, or Normal Distribution).
  2. Enter Known Values: The interface will adapt, showing the specific input fields required for the selected calculator. Fill in your known parameters.
  3. Analyze the Instant Results: The tool automatically calculates and displays a full suite of related probabilities in real-time, complete with proper mathematical notation.

Key Features

  • Three Specialized Calculators in One:
    • Two-Event Probability Solver: A highly flexible tool where you can input any known probabilities (e.g., P(A), P(B), P(A and B)) to solve for a complete set of related outcomes, such as P(A or B), P(A only), P(neither), and more.
    • Binomial Probability Calculator: Determine the probabilities for a series of independent trials. It calculates the likelihood of getting exactly 'k' successes, at most 'k' successes, at least 'k' successes, and more.
    • Normal Distribution Calculator: Analyze values within a normal distribution. It calculates the Z-Score and the probability of a random variable being less than or greater than a specific value (X).
  • Smart Solver & Independence Assumption: The Two-Event calculator intelligently determines if it has enough information to solve. If not, it highlights an option to "Assume Events are Independent" to complete the analysis.
  • Dynamic Input Interface: The Two-Event calculator allows you to dynamically add or remove "known value" cards, letting you solve problems from any starting point.
  • Real-Time & Reactive: All results are calculated and updated instantly as you change any input value, providing immediate feedback on how parameters affect outcomes.
  • Clear, Professional Notation: Results are presented with their corresponding mathematical notation (e.g., P(A∪B), P(X ≤ k)) for clarity and educational value.

How to Use the Calculator

  1. Step 1: Choose Your Calculator Type
    Use the dropdown at the top to select the tool that matches your problem.
  2. Step 2: Enter Your Parameters
    For "Two Events," use the dropdowns in each card to define what you know (P(A), P(B), etc.) and enter its value. For "Binomial," set p, n, and k. For "Normal Distribution," set the Mean, Standard Deviation, and Value (X).
  3. Step 3: Analyze the Results
    The results panel for your chosen calculator will populate automatically, showing a full breakdown of calculated probabilities.
  4. Step 4 (For Two Events):
    If results are missing, check the info banner. You may need to provide P(A and B) or check the "Assume Independence" box to see a full analysis.

Find Our Tool

Probability Calculator, Binomial Probability Calculator, Normal Distribution Calculator, Two Event Probability Calculator, Statistics Calculator, P(A and B) Calculator, Z-Score Calculator, Probability Solver, Conditional Probability Calculator, Venn Diagram Calculator.