MAT 142 Lecture Video SeriesBasic Rules of ProbabilityObjectivesVocabularyDetermine if the following events mutually exclusive.Probability RulesSlide 7Slide 8Find the probability of each of the following:Slide 10If o(E) = 1:6, then find o(E’ ).Slide 12Find the probability that the sum when a pair of dice is rolled isAlex is taking two courses, algebra and U. S. history. Student records indicate that the probability of passing algebra is .35, that of failing U. S. history is .45, and that of passing at least one of the two courses is .80. Find the probability thatAlex is taking two courses, algebra and U. S. history. Student records indicate that the probability of passing algebra is .35, that of failing U. S. history is .35, and that of passing at least one of the two courses is .80. Find the probability thatCreator and Producer Elizabeth Jones for The School of Mathematical and Statistical Sciences at Arizona State University Videographer Mike Jones ©2009 Elizabeth Jones and School of Mathematical and Statistical Sciences at Arizona State UniversityMAT 142Lecture Video SeriesBasic Rules of ProbabilityObjectives•Determine if events are mutually exclusive. •Use probability rules to determine the probability of an event. •Use a Venn diagram to determine probability of an event.Vocabulary•mutually exclusive - events that cannot occur at the same timeDetermine if the following events mutually exclusive. •E is the event of “being a doctor” and F is the event of “being a women” •E is the event of “being single” and F is the event of “being married” •E is the event of “being a plumber” and F is the event of “being a stamp collector”Probability Rules0)( p1)(0 Ep1)( SpProbability Rules)()()()( FEpFpEpFEp 0)( FEp1)'()( EpEpif E and F are mutually exclusiveStandard Deck of CardsFind the probability of each of the following: •a jack and a heart•a jack or a heart•not a jack of hearts•above a jack•below a threeFind the probability of each of the following: •both above a jack and below a three•either above a jack or below a three•not a jack of hearts•above a five•below a jackIf o(E) = 1:6, then find o(E’ ).Rolling a Pair of DiceFind the probability that the sum when a pair of dice is rolled is•8 or 10•even and less than 5•even or less than 5Alex is taking two courses, algebra and U. S. history.7 Student records indicate that the probability of passing algebra is .35, that of failing U. S. history is .45, and that of passing at least one of the two courses is .80.7 Find the probability that •Alex will pass history•Alex will pass both coursesAlex is taking two courses, algebra and U. S. history.7 Student records indicate that the probability of passing algebra is .35, that of failing U. S. history is .35, and that of passing at least one of the two courses is .80.7 Find the probability that •Alex will fail both courses•Alex will pass exactly one courseCreator and ProducerElizabeth Jones forThe School of Mathematical and Statistical SciencesatArizona State University VideographerMike Jones©2009 Elizabeth Jones and School of Mathematical and Statistical Sciences at Arizona State
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