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Three coins are tossed. What is the probability of getting all heads or all tails? A wheel of chance has the numbers 1 to 42 once, each evenly spaced. What is the probability that a multiple of 7 will come up when the wheel is spun? Lucy has 3 pairs of jeans, blue, green, and black, 5 shirts, yellow, white, pink, red, and orange and 2 purses, denim and beaded. How many possible outfits does she have to choose from?

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Splash Screen

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Then/Now You have already found simple probability. (Lesson 13–6) Find the probability of independent and dependent events. Find the probability of mutually exclusive events.

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Vocabulary compound events independent events dependent events mutually exclusive events Two or more simple events Two or more events in which the outcome of one event does not influence the outcome of the other events Two or more events in which the outcome of one event does affect the outcome of the other events Two or more events that cannot happen at the same time

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Concept A

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Example 1 Probability of Independent Events Two number cubes are rolled. What is the probability that both numbers are less than 3? The events are independent since each roll does not affect the other.

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A.A B.B C.C D.D Example 1 CYP Two number cubes are rolled. What is the probability that both numbers will be less than 4? A. B. C. D.

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Concept B

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Example 2 Probability of Dependent Events In a bag, there are 4 yellow pencils, 9 blue pencils, and 8 red pencils. Once a pencil is selected, it is not replaced. Find the probability that two blue pencils are chosen. Since the first pencil is not replaced, the first event affects the second. These are dependent events.

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Example 2 Probability of Dependent Events

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A.A B.B C.C D.D Example 2 COOKIES A plate has 6 chocolate chip cookies, 4 peanut butter cookies, and 5 sugar cookies. What is the probability of randomly selecting a chocolate chip cookie followed by a sugar cookie? A. B. C. D.

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Concept C

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Example 3 Probability of Mutually Exclusive Events CARDS You draw a card from a standard deck of playing cards. What is the probability that the card will be a black nine or any heart? The events are mutually exclusive because the card cannot be both a black nine and a heart at the same time. P(black nine or heart) = P(black nine) + P(heart)

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Example 3 Probability of Mutually Exclusive Events

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A.A B.B C.C D.D Example 3 CARDS You draw a card from a standard deck of playing cards. What is the probability that the card will be a club or a red face card? A. B. C. D.

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End of the Lesson

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