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 and Collections
- D&D 1.0 - Dice Rolls Collection MichaelBartmess
- LM 33.2 Calculating randomness Collection vCollections
- LM 33.3 Probability distributions Collection vCollections
- LM 33.5 Applications of calculus Collection vCollections
- LM 33.6 Summary Collection vCollections
- Poker Calculator (five card) MichaelBartmess
Probability Equations
- Arithmetic Mean MichaelBartmess Use Equation
- Bayes Theorem vCollections Use Equation
- Bayes' Theorem for Disease Testing Caroline4 Use Equation
- Bayes' Theorem for Event Probability Caroline4 Use Equation
- Binomial Coefficient KurtHeckman Use Equation
- Cauchy-Lorentz Distribution EmilyB Use Equation
- Chebyshev's Inequality(1) MichaelBartmess Use Equation
- Chebyshev's Inequality(1) JustinLiller Use Equation
- Chebyshev's Inequality(2) MichaelBartmess Use Equation
- Chebyshev's Inequality(2) JustinLiller Use Equation
- Chi-Square (Stats) MichaelBartmess Use Equation
- Circular r-Permutation of n Elements MichaelBartmess Use Equation
- Coin Flip MichaelBartmess Use Equation
- D20 KurtHeckman Use Equation
- D4 KurtHeckman Use Equation
- Displaced Gaussian MichaelBartmess Use Equation
- DnD Dice Roller KurtHeckman Use Equation
- Drake Equation (original) MichaelBartmess Use Equation
- Expected Value(Bernoulli) JustinLiller Use Equation
- Expected Value(Binomial) JustinLiller Use Equation
- Expected Value(Discrete Uniform) JustinLiller Use Equation
- Expected Value(Geometric) JustinLiller Use Equation
- Expected Value(Geometric) MichaelBartmess Use Equation
- Expected Value(Hypergeometric) JustinLiller Use Equation
- Expected Value(Pascal Distribution) MichaelBartmess Use Equation
- Expected Value(Pascal) JustinLiller Use Equation
- Friedman Equation MFriedmanMD Use Equation
- Gamma Function MichaelBartmess Use Equation
- Gaussian MichaelBartmess Use Equation
- Gaussian Distribution MichaelBartmess Use Equation
- Gaussian Distribution - Displaced MichaelBartmess Use Equation
- Happiness Probability MichaelBartmess Use Equation
- Lognormal MichaelBartmess Use Equation
- Lognormal Distribution MichaelBartmess Use Equation
- Magic the Gathering - Opening Hand Mana Curve JustinLiller Use Equation
- Magic the Gathering - Opening Hand Mana Curve MichaelBartmess Use Equation
- Multiple Values from Gaussian Distribution MichaelBartmess Use Equation
- Multiple Values from Gaussian Distribution (as string) MichaelBartmess Use Equation
- Normal Distribution (PDF) KurtHeckman Use Equation
- P(event) = F / T KurtHeckman Use Equation
- P(n,S) - Bionomial Probability KurtHeckman Use Equation
- Percent Relative Standard Deviation MichaelBartmess Use Equation
- Permutations MichaelBartmess Use Equation
- PowerBall MichaelBartmess Use Equation
- Powerball Chances MichaelBartmess Use Equation
- Probability of Fatality cataustria Use Equation
- Probability of Flush losing (fraction) MichaelBartmess Use Equation
- Probability of Flush losing (percentage) MichaelBartmess Use Equation
- Probability of Four of a Kind losing (fraction) MichaelBartmess Use Equation
- Probability of Four of a Kind losing (percentage) MichaelBartmess Use Equation
- Probability of Full House losing (fraction) MichaelBartmess Use Equation
- Probability of Full House losing (percentage) MichaelBartmess Use Equation
- Probability of High Card losing (fraction) MichaelBartmess Use Equation
- Probability of High Card losing (percentage) MichaelBartmess Use Equation
- Probability of One Pair losing (fraction) MichaelBartmess Use Equation
- Probability of One Pair losing (percentage) MichaelBartmess Use Equation
- Probability of Picking NCAA Basketball Tournament MichaelBartmess Use Equation
- Probability of Royal Flush losing (fraction) MichaelBartmess Use Equation
- Probability of Royal Flush losing (percentage) MichaelBartmess Use Equation
- Probability of Straight Flush losing (fraction) MichaelBartmess Use Equation
- Probability of Straight Flush losing (percentage) MichaelBartmess Use Equation
- Probability of Straight losing (fraction) MichaelBartmess Use Equation
- Probability of Straight losing (percentage) MichaelBartmess Use Equation
- Probability of Three of a kind losing (fraction) MichaelBartmess Use Equation
- Probability of Three of a kind losing (percentage) MichaelBartmess Use Equation
- Probability of Two Pair losing (fraction) MichaelBartmess Use Equation
- Probability of Two Pair losing (percentage) MichaelBartmess Use Equation
- Random 0 OR 1 MichaelBartmess Use Equation
- Random Integer MichaelBartmess Use Equation
- Random Integer [0 , Upper] MichaelBartmess Use Equation
- Random Real Number in Range MichaelBartmess Use Equation
- Random Real [0.0, 1.0] MichaelBartmess Use Equation
- Random Real [0.0, Upper] MichaelBartmess Use Equation
- Relative Standard Deviation MichaelBartmess Use Equation
- Roll a 10-sided Virtual Dice MichaelBartmess Use Equation
- Roll a 100-sided Virtual Dice MichaelBartmess Use Equation
- Roll a 12-sided Virtual Dice MichaelBartmess Use Equation
- Roll a 2-sided Virtual Dice KurtHeckman Use Equation
- Roll a 20-sided Virtual Dice MichaelBartmess Use Equation
- Roll a 3-sided Virtual Dice MichaelBartmess Use Equation
- Roll a 4-sided Virtual Dice MichaelBartmess Use Equation
- Roll a 5-sided Virtual Dice MichaelBartmess Use Equation
- Roll a 50-sided Virtual Dice MichaelBartmess Use Equation
- Roll a 6-sided Virtual Dice MichaelBartmess Use Equation
- Roll a 7-sided Virtual Dice MichaelBartmess Use Equation
- Roll a 8-sided Virtual Dice MichaelBartmess Use Equation
- Roll a 9-sided Virtual Dice KurtHeckman Use Equation
- Roll a D-100 MichaelBartmess Use Equation
- Roll a D-12 MichaelBartmess Use Equation
- Roll a d10 JustinLiller Use Equation
- Roll a d100 JustinLiller Use Equation
- Roll a d100 MichaelBartmess Use Equation
- Roll a d12 JustinLiller Use Equation
- Roll a d12 MichaelBartmess Use Equation
- Roll a d20 MichaelBartmess Use Equation
- Roll a d20 JustinLiller Use Equation
- Roll a d4 MichaelBartmess Use Equation
- Roll a d4 JustinLiller Use Equation
- Roll a d6 JustinLiller Use Equation
- Roll a d6 MichaelBartmess Use Equation
- Roll a d8 MichaelBartmess Use Equation
- Roll a d8 JustinLiller Use Equation
- Roll an 11-sided Virtual Dice KurtHeckman Use Equation
- Roll an 4-sided Virtual Dice KurtHeckman Use Equation
- Roll Five Virtual Cube Dice MichaelBartmess Use Equation
- Roll Four Virtual Sided Dice MichaelBartmess Use Equation
- Roll Three Virtual Cube Dice MichaelBartmess Use Equation
- Roll Two Virtual Cube Dice MichaelBartmess Use Equation
- Seager Equation EmilyB Use Equation
- Sod's Law MichaelBartmess Use Equation
- Standard Normal Distribution KurtHeckman Use Equation
- Standard Normal Distribution (CDF) KurtHeckman Use Equation
- Stirling's Formula MichaelBartmess Use Equation
- Variance(Bernoulli) JustinLiller Use Equation
- Variance(Bernoulli) MichaelBartmess Use Equation
- Variance(Binomial) MichaelBartmess Use Equation
- Variance(Binomial) JustinLiller Use Equation
- Variance(Geometric) MichaelBartmess Use Equation
- Variance(Geometric) JustinLiller Use Equation
- Variance(Hypergeometric) JustinLiller Use Equation
- Variance(Hypergeometric) MichaelBartmess Use Equation
- Variance(Pascal) MichaelBartmess Use Equation
- Variance(Pascal) JustinLiller Use Equation
- Variance(Uniform) JustinLiller Use Equation
- Variance(Uniform) MichaelBartmess Use Equation
- Virtual Dice KurtHeckman Use Equation
Probability Data Items
- five card hands MichaelBartmess Use Data Item
- Powerball Possibilities MichaelBartmess Use Data Item
- Probability of Flush (fraction) MichaelBartmess Use Data Item
- Probability of Flush (percentage) MichaelBartmess Use Data Item
- Probability of Four of a Kind (fraction) MichaelBartmess Use Data Item
- Probability of Four of a Kind (percentage) MichaelBartmess Use Data Item
- Probability of Full House (fraction) MichaelBartmess Use Data Item
- Probability of Full House (percentage) MichaelBartmess Use Data Item
- Probability of One Pair (fraction) MichaelBartmess Use Data Item
- Probability of One Pair (percentage) MichaelBartmess Use Data Item
- Probability of Royal Flush (fraction) MichaelBartmess Use Data Item
- Probability of Royal Flush (percentage) MichaelBartmess Use Data Item
- Probability of Straight (fraction) MichaelBartmess Use Data Item
- Probability of Straight (percentage) MichaelBartmess Use Data Item
- Probability of Straight Flush (fraction) MichaelBartmess Use Data Item
- Probability of Straight Flush (percentage) MichaelBartmess Use Data Item
- Probability of Three of a Kind (fraction) MichaelBartmess Use Data Item
- Probability of Three of a Kind (percentage) MichaelBartmess Use Data Item
- Probability of Two Pair (fraction) MichaelBartmess Use Data Item
- Probability of Two Pair (percentage) MichaelBartmess Use Data Item
Probability Datasets
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