Lesson 10-7 Independent and Dependent Events

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Presentation transcript:

Lesson 10-7 Independent and Dependent Events Obj: The student will be able to 1) Find the probability of independent events 2) Find the probability of dependent events HWK: Vocab: 1) independent events 2) dependent events COS: S-CP2

Tell whether each set of events is independent or dependent. Explain Ex 1) A dime lands heads up and a nickel lands tails up Ex 2) One student in your class is chosen for a project. Then another student in the class is chosen. Ex 3) A number cube lands showing an odd number. It is rolled a second time and lands showing 6.

Probability of Independent Events If A and B are independent events, then P(A and B) = P(A) • P(B)

Ex 4) Select a marble and replace it. P(Y, B) P(B, G)

Ex 5) You roll two number cubes. What is the probability of rolling doubles? What is the probability of rolling doubles 3 times in a row?

Probability of Dependent Events If A and B are dependent events, then P(A and B) = P(A) • P(B, after A)

Ex 6) A bag has 10 red marbles, 12 white marbles and 8 blue marbles Ex 6) A bag has 10 red marbles, 12 white marbles and 8 blue marbles. Two marbles are selected from the bag randomly without replacement. What is the probability of drawing a blue marble and then a red marble? What is the probability of drawing a white marble and then a blue marble?