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Probabilityofanyeventdealswithpossibleoutcomesofitwithothereventsorinotherwordswecandescribe
probabilityasthenumericalvalueonalinearscaleof0to1,forchancesofoccurrenceofanyeventamong
thetotalevents.TheProbabilityofanyeventAamongstalltheotherisrepresentedas:
P(A)=(possibleoutcomesofeventA)/(totalnumberofevents).
Whilecalculatingtheprobabilityofanyeventprobabilityfunctionanditsvariantisrequiredtounderstandfirst.
When a function which is already in normalized form distributes the probability density to each and every
possibleoutcomethenthatfunctionisknownasprobabilitydensityfunctionwhichisalsoknownasprobability
distribution function and when probability's collective value or sum of distinct probability is done then that
particularfunctionisknownascumulativedistributionfunction.
Letsusnowtalkaboutoneadditionalpartofprobabilityproblemswhichisconditionalprobability,conditional
probabilityisacasewhereoccurrenceofanyeventisrestrictedbyaconditionwhichrefinestheprobability
valueforthatevent.SupposeaneventAoccursatparticulartimebuttheconditionisthatAonlycanhappen
whenothereventBhasalreadyoccurred.ThanthisconditionalprobabilityforeventAisrepresentedas:
P(A|B)=P(AAndB)/P(B)orPB(A)


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Probability!Howyoudefinethisterm?Itisdefinedasthephenomenonofcalculatingthecertainty
ofaneventoccurrenceandwhenthiscertaintyisdeterminedintermsofanynumericalvaluethen
itiscalledasprobability.Probabilityofanyeventalwaysliesbetween0and1thatmeansitcan't
belessthenzeroandmorethenone.Probabilityisamathematicalphenomenonwhichdealswith
randomvariablesandexperimentsbuttheyarewelldefinedinthegivenproblems.Letustalk
aboutaneventAoccurrencethenitsprobabilityrepresentedas:P(A).
Thegeneralformulaoftheprobabilitycalculationisdefinedas:P(A)=(thechancesofallthe
possibleoccurrenceofeventA)/(totalnumberofevents).
Whenevertheoccurrenceofanyeventisrestrictedduetoanyothereventorconditionthenthis
situationisdefinedasconditionalprobabilityandinthisthechancesofoccurrencesofaneventget
limited.Supposeasituationwhereevent`A'canoccurafterevent`B'thenthisconditional
probabilityofAisrepresentedas:
P(A|B)=P(AandB)/P(B)(theratioofintersectionofAandBwithmarginalprobabilityofalready
occurredeventB).Inotherformitcanbewrittenas:PB(A).


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