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12- 8 Probability of Compound Events Objective: Find probabilities of exclusive and overlapping events and independent and dependent

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12- 8 Probability of Compound Events Compound Event: Is the possibility of two or more events linked with the word And or the word OR.

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12- 8 Probability of Compound Events Mutually exclusive: can’t happen at same time P(A or B) = P(A) + P(B) Overlapping events can happen at same time P(A or B) = P(A) + P(B) – P(A and B)

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12- 8 Probability of Compound Events Spinner has 20 sections numbered 1 to 10. Probability of spinning a 2 or a 5? Can’t land on both at same time so events are exclusive. P(2 or 5) = P(2) + P(5)

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12- 8 Probability of Compound Events

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Independent events if the occurrence of one event does not effect the other. P(A and B) = P(A) ∙ P(B)

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12- 8 Probability of Compound Events

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Two events are dependent if one event affects the probability of the second event. Choose and NOT replace the object. A and B are dependent events; P(A then B) = P(A) ∙ P(B after A)

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12- 8 Probability of Compound Events

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p. 780 HW Every third

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