11-4 Compound Events - Math Slide Show
11-4 Compound Events - Math Slide Show
11-4 Compound Events - Math Slide Show
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Lesson <strong>11</strong>-4 (cont.)Using Intersection to Find ProbabilityProbability of the Complement of an EventTwenty-five students are on the Jefferson MiddleThe event A´ (A prime), is called the complement ofSchool football team. Six of them take Algebra,event A, consists of all the outcomes that are not in A.12 of them took Biology and 15 students tookAlgebra or Biology. What is the probability thatThe probability of the complement of A isa student took both Algebra and Biology?′PA ( ) = 1 −PA( ).P(A or B) = P(A) + P(B) − P(A and B)1525 = 6 25 + 12A card is randomly selected from a standard− P(A and B)deck of 52 cards. What is the probability that it25 is not a spade?325 = P(A and B) P(not a spade) = 1 − 1352 = 3 4<strong>Events</strong> A and B are mutually exclusive.Find P(A or B).1) P(A) = 0.4P(B) = 0.50.4 + 0.5 = 0.9Algebra 2 <strong>Slide</strong> <strong>Show</strong>: Teaching Made Easy As Pi, by Mike Mills and James Wenk © 2010
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