Flashcards
Probability
Cards in this deck (32)
- 1TrialObserving an event occur and recording the outcome
- 2ExperimentA collection of one or multiple trials
- 3Expected value for numeric variables
- 4probability frequency distributionA collection of the probabilities for each possible outcome of an event.
- 5CombinatoricsCombinations of objects from specific finite set.
- 6PermutationsThe number of ways to arrange a different set of elements.
- 7FactorialsThe product of natural numbers from 1 to n.
0! = 1 - 8Equation for 2 FactorialsWhen n > k
n!/k! - 9VariationsThe total number of ways we can pick & arrange some variations of a given set.
Variations do not take into account double counting elements. - 10Variations with Repetitions FormulaCombination Lock
Vbar = n^p
n = # of available options
P = # of positions to fill - 11Variations without RepetitionsRelay Race positions
V = n!/(n-p)! - 12CombinationsThe number of unique ways we can pick certain elements of a set.
- 13Combinations without Repetitions FormulaC = V/P
The # of combinations is equal to the # of variations over the # of permutations.
C = n!/p!(n-p)! - 14Combinations with Repetitions FormulaCbar = (n+p-1)!/p!(n-1)!
- 15SetA set is a collection of elements/values.
A set can also be an empty set. - 16EventA set of favorable outcomes
- 17—Contains/in
- 18—For All/Any
- 19—Such that. Filter what you are looking for.
- 20—Subset
- 21Multiple event optionsNever Touch, Intersect, Subset
- 22Unions that are mutually exclusiveAuB = A + B
- 23Unions that have intersectionAuB = A + B - AnB
i.e. The united states is a union of states - 24Unions that have SubsetsAuB = A
- 25ComplementsAre everything in the sample space, that are outside of the set.
- 26Dependent EventsThe probability of an event changes depending on the information we have.
P(A|B)
P of A given B - 27Conditional ProbablityLikelihood of an event occurring assuming one has already happened.
P(A|B) = P(AnB)/P(B) - 28Law of Total Probability
- 29Additive LawProbability of the union of two sets is equal to the sum of the individual probabilities of each event.
P(AuB) = P(A) + P(B) - P(AnB)
P(AnB) = P(A) + P(B) - P(AuB) - 30Multiplication RuleP(A|B)xP(B) = P(AnB)
Probability of sequential events occuring. - 31Bayes' TheoremP(A\B) = P(B|A)xP(A)/P(B)
Used for calculating conditional probabilities. - 32Bayesian Inference
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- Flashcards on Probability, created by Matthew Thacker on 22/05/2020.
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- Matthew Thacker
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