Basic 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 exclusiveProbability Rulesp(-) = )(p)(Sp )(Ep )( FEpIf events are mutually exclusive )( FEp )()( EpEpThis formula can be rearranged as needed.Basic Rules of Probability Page 1 of 4Possible Classroom Examples:Determine 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 astamp collector”Find 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 three- both above a jack and below a three- either above a jack or below a three- not a face card- above a five- below a jackIf 6:1)( Eo, the find )(EoFind 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. 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 thata. Alex will pass historyb. Alex will pass both coursesc. Alex will fail both coursesd. Alex will pass exactly one courseBasic Rules of Probability Page 2 of 4Deck of CardsHearts – Red Diamonds – RedClubs – Black Spades – BlackSample Space of Rolling a Pair of DiceSum(1, 1)(1, 2)(1, 3)(1, 4)(1, 5)(1, 6)2 (2, 1)(2, 2)(2, 3)(2, 4)(2, 5)(2, 6)3 (3, 1)(3, 2)(3, 3)(3, 4)(3, 5)(3, 6)4 (4, 1)(4, 2)(4, 3)(4, 4)(4, 5)(4, 6)5 (5, 1)(5, 2)(5, 3)(5, 4)(5, 5)(5, 6)6 (6, 1)(6, 2)(6, 3)(6, 4)(6, 5)(6, 6)Basic Rules of Probability Page 3 of 47 8 9 10 11 12Basic Rules of Probability Page 4 of
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