# Probability

Probability is the measure of the likeliness that an event will occur. Probability is quantified as a number between 0 and 1 (where 0 indicates impossibility and 1 indicates certainty). The higher the probability of an event, the more certain we are that the event will occur.

When dealing with experiments that are random and well-defined in a purely theoretical setting (like tossing a fair coin), probabilities can be numerically described by the number of desired outcomes divided by the total number of all outcomes. Tossing a fair coin twice will yield head-head with probability 1/4, because the four outcomes head-head, head-tails, tails-head and tails-tails are equally likely to occur.

vCalc's Probability library contains equations commonly used in Probability Theory (the analysis of random phenomena).

### Parent Categories:

## Probability Calculators

## Probability Collections

## Probability Equations

- Binomial Coefficient
- Chebyshev's Inequality(1)
- Chebyshev's Inequality(2)
- Circular r-Permutation of n Elements
- Expected Value(Geometric)
- Expected Value(Pascal Distribution)
- Gamma Function
- Normal Distribution (PDF)
- P(event) = F / T
- P(n,S) - Bionomial Probability
- Percent Relative Standard Deviation
- Permutations
- Relative Standard deviation (RSD)
- Standard Normal Distribution
- Standard Normal Distribution (CDF)
- Stirling's Formula
- Arithmetic Mean
- Bayes Theorem
- Bayes' Theorem for Disease Testing
- Bayes' Theorem for Event Probability
- Cauchy-Lorentz Distribution
- Chebyshev's Inequality(1)
- Chebyshev's Inequality(2)
- Chi-Square (Stats)
- Coin Flip
- Displaced Gaussian
- Drake Equation (original)
- Expected Value(Bernoulli)
- Expected Value(Binomial)
- Expected Value(Discrete Uniform)
- Expected Value(Geometric)
- Expected Value(Hypergeometric)
- Expected Value(Pascal)
- Friedman Equation
- Gaussian
- Gaussian Distribution
- Gaussian Distribution - Displaced
- Happiness Probability
- Lognormal
- Lognormal Distribution
- Magic the Gathering - Opening Hand Mana Curve
- Magic the Gathering - Opening Hand Mana Curve
- Multiple Values from Gaussian Distribution
- Multiple Values from Gaussian Distribution (as string)
- PowerBall
- Powerball Chances
- Probability of Fatality
- Probability of Flush losing (fraction)
- Probability of Flush losing (percentage)
- Probability of Four of a Kind losing (fraction)
- Probability of Four of a Kind losing (percentage)
- Probability of Full House losing (fraction)
- Probability of Full House losing (percentage)
- Probability of High Card losing (fraction)
- Probability of High Card losing (percentage)
- Probability of One Pair losing (fraction)
- Probability of One Pair losing (percentage)
- Probability of Picking NCAA Basketball Tournament
- Probability of Royal Flush losing (fraction)
- Probability of Royal Flush losing (percentage)
- Probability of Straight Flush losing (fraction)
- Probability of Straight Flush losing (percentage)
- Probability of Straight losing (fraction)
- Probability of Straight losing (percentage)
- Probability of Three of a kind losing (fraction)
- Probability of Three of a kind losing (percentage)
- Probability of Two Pair losing (fraction)
- Probability of Two Pair losing (percentage)
- Random 0 OR 1
- Random Integer [0 , Upper]
- Random Integer [Lower , Upper]
- Random Real [0dot0, 1dot0]
- Random Real [0dot0, Upper]
- Random Real [Lower, Upper]
- Relative Standard Deviation
- Roll a 10-sided Virtual Dice
- Roll a 100-sided Virtual Dice
- Roll a 12-sided Virtual Dice
- Roll a 20-sided Virtual Dice
- Roll a 3-sided Virtual Dice
- Roll a 4-sided Virtual Dice
- Roll a 5-sided Virtual Dice
- Roll a 50-sided Virtual Dice
- Roll a 6-sided Virtual Dice
- Roll a 7-sided Virtual Dice
- Roll a 8-sided Virtual Dice
- Roll a D-100
- Roll a D-12
- Roll a d10
- Roll a d100
- Roll a d12
- Roll a d20
- Roll a d4
- Roll a d6
- Roll a d8
- Roll Five Virtual Cube Dice
- Roll Four Virtual Cube Dice
- Roll Three Virtual Cube Dice
- Roll Two Virtual Cube Dice
- Seager Equation
- Sod's Law
- Variance(Bernoulli)
- Variance(Bernoulli)
- Variance(Binomial)
- Variance(Binomial)
- Variance(Geometric)
- Variance(Geometric)
- Variance(Hypergeometric)
- Variance(Hypergeometric)
- Variance(Pascal)
- Variance(Pascal)
- Variance(Uniform)
- Variance(Uniform)

## Probability Constants

- five card hands
- Littlewood's Law
- Powerball Possibilities
- Probability of Flush (fraction)
- Probability of Flush (percentage)
- Probability of Four of a Kind (fraction)
- Probability of Four of a Kind (percentage)
- Probability of Full House (fraction)
- Probability of Full House (percentage)
- Probability of One Pair (fraction)
- Probability of One Pair (percentage)
- Probability of Royal Flush (fraction)
- Probability of Royal Flush (percentage)
- Probability of Straight (fraction)
- Probability of Straight (percentage)
- Probability of Straight Flush (fraction)
- Probability of Straight Flush (percentage)
- Probability of Three of a Kind (fraction)
- Probability of Three of a Kind (percentage)
- Probability of Two Pair (fraction)
- Probability of Two Pair (percentage)