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Lesson Menu. Main Idea and New Vocabulary Key Concept: Probability of Independent Events Example 1: Independent Events Example 2: Independent Events Key Concept: Probability of Dependent Events Example 3: Real-World Example. Find the probability of independent and dependent events.

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  1. Lesson Menu Main Idea and New Vocabulary Key Concept: Probability of Independent Events Example 1: Independent Events Example 2: Independent Events Key Concept: Probability of Dependent Events Example 3: Real-World Example

  2. Find the probability of independent and dependent events. • compound event • independent events • dependent events Main Idea/Vocabulary

  3. Key Concept

  4. Independent Events The two spinners below are spun. What is the probability that both spinners will show a number greater than 6? Example 1

  5. P(spinning number > 6 on spinner 1) = P(spinning number > 6 on spinner 2) = P(both numbers are > 6) = = Answer: The probability that both spinners will show a number greater than 6 is Independent Events Example 1

  6. A. B. C. D. Two number cubes are rolled. The faces of the number cubes are labeled 1–6. What is the probability rolling a 1 or a 2 on both number cubes? Example 1 CYP

  7. Independent Events A red number cube and a white number cube are rolled. The faces of both cubes are numbered from 1 to 6. What is the probability of rolling a 3 on the red number cube and rolling a 3 or less on the white number cube? You are asked to find the probability of rolling a 3 on the red number cube and rolling a 3 or less on the white number cube. The events are independent because rolling the red number cube does not affect the outcome of rolling the white number cube. Example 2

  8. P(3 on red cube) = P(3 or less on white cube) = Independent Events First, find the probability of each event. Example 2

  9. P(3 on red cube and 3 or less on white cube) = P(A and B) = P(A) P(B) = Multiply. Answer: The probability is Independent Events Then find the probability of both events occurring. Example 2

  10. A. B. C. D. A bag contains cards with the letters A–F written on them, each letter represented once. A second bag has cards with the colors yellow, green, and blue written on them, each color represented once. What is the probability of drawing a vowel from the first bag and the color yellow from the second bag? Example 2 CYP

  11. Key Concept 3

  12. SOCKS There are 4 red, 8 yellow, and 6 blue socks mixed up in a drawer. Once a sock is selected, it is not replaced. Find the probability of reaching into the drawer without looking and choosing 2 blue socks. Example 3

  13. number of blue socks total number of socks number of blue socks after one blue sock is removed total number of socks after one sock is removed Answer: The probability is Since the first sock is not replaced, the first event affects the second event. These are dependent events. Example 3

  14. A. B. C. D. CANDY There are 3 butterscotch candies, 7 peppermints, and 4 cinnamon candies in a candy bowl. Donna selects a piece of candy at random and then Jake selects a piece of candy at random. Find the probability that both choose a butterscotch candy. Example 3 CYP

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