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12.4 Find Probabilities of Disjoint and Overlapping Events
Mrs. vazquez Geometry
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(S.cp.)1, 4, 5, 7, 9, (s.md)6, 7 Essential Question: How are many
Objective: Students will be able to find probabilities of compound events.
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definitions compound event: the union or intersection of two events
overlapping events: when two events have 1+ outcomes in common disjoint event: (mutually exclusive events) when two events have no common outcome
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probability formulas P(A or B) = P(A) + P(B) - P(A & B) P(A or B) = P(A) + P(B) A card is randomly selected from a standard deck of 52 cards. Find the probability of the given event. Selecting an ace or an eight Selecting a 10 or a diamond
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solve Out of 200 students in a senior class, 64 seniors are either in band or on honor roll. 32 seniors are in band & 51 seniors are on the honor roll. What is the probability that a randomly selected senior is both in band & on the honor roll?
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complement of an event complement:
(Ā) all outcomes that are not in event A Ā: “A bar” P(Ā) = 1 - P(A)
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solve A restaurant gives a free fortune cookie to every guest. The restaurant claims there are 100 different hidden messages inside the cookies. What is the probability that a group of 5 people will receive at least 2 fortune cookies with the same message? How does the answer change if there are 500 different messages?
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