# Rule 1 relative frequency approximation of

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Rule 1: Relative Frequency Approximation of ProbabilityIf an experiment is repeatedntimes and eventAoccursstimes, thenP(A)sn.Rule 2: Classical Approach to ProbabilityIf each outcome has an equal chance of occurring, then the probability of aneventAisP(A)=number ofall outcomes of Atotal number ofall possible outcomes.A. Bourhim (Syracuse University)Basic Concepts of ProbabilityMAT121, Spring 20155 / 14
ExampleA single 6-sided die is rolled.1What is the probability of each outcome?2What is the probability of rolling an even number?3What is the probability of rolling an odd number?
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Note: For two eventsAandB, the following hold.10P(A)1.2P(A)should be expressed asa fraction or decimal number.3IfP(A)>P(B)thenAis morelikely to occur thanB.4IfP(A)=P(B)then A and Bare equally likely to occur.5P(A)=0 ifAis the impossibleevent.6P(A)=1 ifAis certain tooccur (Sure or certain event).7Ais unusual ifP(A)0.05,otherwise it is considered tobe usual.Possible Values for Probabilities Certain Likely 50-50 Chance Unlikely Impossible 1 0.5 0 Unusual 0.05 or less A. Bourhim (Syracuse University)Basic Concepts of ProbabilityMAT121, Spring 20157 / 14