Convert probability in fractions, decimals, percentages, and odds
Probability (Decimal, 0 ≤ p ≤ 1)
Numerator
/
Denominator
Probability (%)
Results
Decimal
Fraction
Percent
Odds
Step-by-Step Derivation
Probability Conversion Formulas
p (decimal) = numerator / denominator
p (percent) = p (decimal) × 100%
Odds = p / (1 - p)
Simplify probability fractions by dividing numerator and denominator by their GCD. This helps convert probability in fractions to decimals, percentages, and odds.
⚠Probability ranges from 0 (impossible) to 1 (certain).
Probability in Fractions
A probability fraction is favorable outcomes divided by total outcomes. For example, 3 favorable outcomes out of 4 total outcomes is 3/4, which equals 0.75 or 75%. This calculator converts between all three formats and also gives odds.
What is Probability?
Probability measures the likelihood of an event occurring, ranging from 0 (impossible) to 1 (certain).
Decimal
0 ≤ p ≤ 1
Fraction
numerator/denominator
Percent
0% to 100%
Odds
p/(1-p)
💡 Example: p=0.75 → 3/4, 75%, odds=3 (3:1 in favor)
Applications
StatisticsGamblingRisk AnalysisFinanceMedicine
Frequently Asked Questions
What is probability?▼
Probability = favorable outcomes / total outcomes. Range: 0 ≤ p ≤ 1. Can be fraction, decimal, percentage.
How to convert decimal to fraction?▼
Write as fraction over 10^n, simplify by dividing numerator/denominator by GCD. e.g., 0.75 = 75/100 = 3/4.
What are odds?▼
Odds = p/(1-p). Odds in favor vs against. e.g., p=0.5, odds=1 (1:1).
What is GCD?▼
Greatest Common Divisor = largest number dividing both numerator, denominator. Used to simplify fractions.
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