Probability Fraction Calculator
Enter successes and total trials to convert a probability into a simplified fraction, decimal, and percentage representation.
Successes: 3
Failures: 5
Simplified fraction: 3/8
Decimal: 0.3750
Percentage: 37.50%
How to Use This Calculator
- Enter the number of successes (favorable outcomes).
- Enter the total number of trials or possible outcomes.
- Review the simplified probability fraction, decimal, and percentage.
- Use the results in probability exercises, statistics, or reporting.
Formula
Probability fraction = successes / total
Simplify by dividing numerator and denominator by gcd(successes, total)
Decimal = successes / total
Percentage = (successes / total) × 100%
Full Description
Probabilities can be expressed as fractions, decimals, or percentages. This calculator simplifies a raw fraction to lowest terms and provides equivalent decimal and percentage forms to support probability reporting and interpretation.
Frequently Asked Questions
Can successes exceed total trials?
While the calculator permits it, probabilities exceeding 1 are non-standard. Ensure inputs reflect valid probabilities.
What if total is zero?
A zero denominator is undefined; the calculator requires total > 0.
Does it handle large numbers?
Yes. gcd-based simplification keeps fractions manageable even for large counts.
Can I input decimals?
Inputs are rounded to integers to represent discrete successes and trials.