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Splash Screen. Five-Minute Check (over Lesson 12–1) Main Idea and Vocabulary Key Concept: Probability of Independent Events Example 1: Probability of Independent Events Example 2: Test Example: Use Probability to Solve a Problem Key Concept: Probability of Dependent Events

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 12–1) Main Idea and Vocabulary Key Concept: Probability of Independent Events Example 1: Probability of Independent Events Example 2: Test Example: Use Probability to Solve a Problem Key Concept: Probability of Dependent Events Example 3: Probability of Dependent Events Lesson Menu

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

  4. KC 1

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

  6. Answer: Probability of Independent Events Example 1

  7. A B C D A.B. C.D. The two spinners are spun. What is the probability that both spinners will show a number less than 4? Example 1

  8. ABCD UseProbabilitytoSolveaProblem 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 the number 3 or less on the white number cube? Read the Item You are asked to find the probability of rolling a 3 on the red number cube and rolling a number 3 or less on the white number cube. The events are independent because rolling one number cube does not affect rolling the other cube. Example 2

  9. UseProbabilitytoSolveaProblem Solve the Item First, find the probability of each event. Then, find the probability of both events occurring. P(A and B) = P(A) ● P(B) Multiply. Example 2

  10. Answer: . The answer is D. UseProbabilitytoSolveaProblem Example 2

  11. A B C D A.B. C.D. A white number cube and a green number cube are rolled. The faces of both cubes are numbered from 1 to 6. What is the probability of rolling an even number on the white number cube and rolling a 3 or a 5 on the green number cube? Example 2

  12. KC 1

  13. number of blue socks total number of socks Probability of Dependent Events 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. Since the first sock is not replaced, the first event affects the second event. These are dependent events. Example 3

  14. number of blue socks after one blue sock is removed total number of socks after one blue sock is removed Answer: Probability of Dependent Events BrainPop:Probability: Compound Events Example 3

  15. A B C D A. B. C. D. There are 6 green, 9 purple, and 3 orange marbles in a bag. Once a marble is selected, it is not replaced. Find the probability that two purple marbles are chosen. Example 3

  16. End of the Lesson End of the Lesson

  17. Five-Minute Check (over Lesson 12–1) Image Bank Math Tools Theoretical and Experimental Probability Probability: Compound Events Resources

  18. A B C D (over Lesson 12-1) Determine the number of outcomes using a tree diagram if two number cubes are rolled. A. 12 outcomes B. 24 outcomes C. 36 outcomes D. 72 outcomes Five Minute Check 1

  19. A B C D (over Lesson 12-1) Determine the number of outcomes using a tree diagram if four kinds of candy come in either red, blue, or yellow wrappers. A. 7 outcomes B. 12 outcomes C. 16 outcomes D. 24 outcomes Five Minute Check 2

  20. A B C D (over Lesson 12-1) Use the Fundamental Counting Principle to find the number of possible outcomes if a month of the year is picked at random and a quarter is flipped. A. 24 outcomes B. 36 outcomes C. 72 outcomes D. 144 outcomes Five Minute Check 3

  21. A B C D (over Lesson 12-1) Use the Fundamental Counting Principle to find the number of possible outcomes if a 4-digit code is created using the numbers 0–6. A. 28 outcomes B. 784 outcomes C. 2,401 outcomes D. 16,384 outcomes Five Minute Check 4

  22. A B C D (over Lesson 12-1) A university gives each student an ID number with 2 letters (A–Z) followed by 3 digits (0–9). How many possible ID numbers are there? A. 352 possible ID numbers B. 1,676 possible ID numbers C. 15,600 possible ID numbers D. 676,000 possible ID numbers Five Minute Check 5

  23. A B C D (over Lesson 12-1) Lindsey and Barbara are going to a pizza shop. They can order a pepperoni, sausage, Canadian bacon, or hamburger pizza. The pizzas can be made thin, regular, or thick crust. How many different pizzas can they order? A. 3 B. 4 C. 12 D. 64 Five Minute Check 6

  24. End of Custom Shows

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