# 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).

## 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)