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Section 7.2.  Mutually Exclusive: pulling a jack or queen card from the deck P(a U b) = P(a) + P(b) In general, Reminder  U means union means intersection.

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Presentation on theme: "Section 7.2.  Mutually Exclusive: pulling a jack or queen card from the deck P(a U b) = P(a) + P(b) In general, Reminder  U means union means intersection."— Presentation transcript:

1 Section 7.2

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4  Mutually Exclusive: pulling a jack or queen card from the deck P(a U b) = P(a) + P(b) In general, Reminder  U means union means intersection

5  If two fair dice are tossed, what is the probability that the sum is a 2 or a 3? Mutually Exclusive! P(a or b) = P(a) + P(b) = 1/36 + 2/36 = 3/36 = 1/12

6  13 of the 50 states include territory that lies west of the continental divide. 42 states include territory that lies east of the continental divide. Is this possible? Explain your answer.  Sure, as long as 5 states include territory that lies both east and west of the continental divide (Mt, Wy, Co, NM, Al)

7 Three fair coins are tossed. What is the probability that NOT all the coins show the same face? The sample space is 8 P(1 heads) + P(2 heads) 3/8 + 3/8 6/8 = ¾ = 75%

8 Use complementary events to answer the previous question. 1 - P(3 heads) - P(3 tails) 1 – 1/8 – 1/8 1 – 1/4 = ¾ = 75%

9 Pages 438 – 439 6 - 20


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