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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**

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**

Spinner has 20 sections numbered 1 to 10. Probability of spinning a multiple of 2 or a 5? Since a number can be a multiple of 2 and of 5, such as 10, The events are overlapping. P(Multiples of 2 or 5) = P(multi 2) + P(multi 5) – P(both) = Simplify

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**12- 8 Probability of Compound Events**

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**

Roll a red cube and a blue cube. What is probability of rolling a 3 on red and even on blue? P(3 on red) = P(even on blue) = = 1 2 P(both) = ∙ =

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**12- 8 Probability of Compound Events**

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**

GRIDDED RESPONSE is on tiles. Without replacing the first tile, you select a second. What is the probability that you choose a R the first selection and a D the second. P(R then D) = P(R) ∙ P(D after R) = ∙ =

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**12- 8 Probability of Compound Events**

GRIDDED RESPONSE is on tiles. Without replacing the first tile, you select a second. What is the probability that you choose a D the first selection and a D the second. P(D then D) = P(D) ∙ P(D after R) = ∙ =

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**12- 8 Probability of Compound Events**

HW p. 780 9 - 27 Every third

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Probability COMPOUND EVENTS. If two sets or events have no elements in common, they are called disjoint or mutually exclusive. Examples of mutually exclusive.

Probability COMPOUND EVENTS. If two sets or events have no elements in common, they are called disjoint or mutually exclusive. Examples of mutually exclusive.

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