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Transparency 7. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 7-2c. Objective. Find the probability of independent and dependent events. Example 7-2c. Vocabulary. Compound event. An event consisting of two or more simple events.

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  1. Transparency 7 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 7-2c Objective Find the probability of independent and dependent events

  4. Example 7-2c Vocabulary Compound event An event consisting of two or more simple events

  5. Example 7-2c Vocabulary Independent event Two or more events in which the outcome of one event does not affect the outcome of the other event(s)

  6. Example 7-2c Vocabulary Dependent event Two or more events in which the outcome of one event affects the outcome of the other event(s)

  7. Lesson 7 Contents Example 1Independent Events Example 2Dependent Events

  8. Example 7-1a LUNCHFor lunch, Jessica may choose from a turkey sandwich, a tuna sandwich, a salad, or a soup. For a drink, she can choose juice, milk, or water. If she chooses a lunch at random, what is the probability that she chooses a sandwich (of either kind) and juice? Write probability statement for the meal 2 P(sandwich) = 4 There are 2 choices for a sandwich - turkey and tuna There are 4 total choices for a meal 1/2

  9. Example 7-1a LUNCHFor lunch, Jessica may choose from a turkey sandwich, a tuna sandwich, a salad, or a soup. For a drink, she can choose juice, milk, or water. If she chooses a lunch at random, what is the probability that she chooses a sandwich (of either kind) and juice? 2  2 P(sandwich) = Find the GCF = 2 4  2 1 Divide GCF into numerator and denominator P(sandwich) = 2 1/2

  10. Example 7-1a LUNCHFor lunch, Jessica may choose from a turkey sandwich, a tuna sandwich, a salad, or a soup. For a drink, she can choose juice, milk, or water. If she chooses a lunch at random, what is the probability that she chooses a sandwich (of either kind) and juice? Write probability statement for the drink 1 P(sandwich) = 2 1 P(juice) = There is 1 choice for a juice 3 There are 3 choices for a drink Numerator is 1 so already in simplest form 1/2

  11. Example 7-1a LUNCHFor lunch, Jessica may choose from a turkey sandwich, a tuna sandwich, a salad, or a soup. For a drink, she can choose juice, milk, or water. If she chooses a lunch at random, what is the probability that she chooses a sandwich (of either kind) and juice? Write probability statement for a sandwich AND juice 1 P(sandwich) = 2 1 P(juice) = 3 1 1 P(sandwich AND juice) =  3 2 Multiply probability of sandwich and juice 1/2

  12. Example 7-1a LUNCHFor lunch, Jessica may choose from a turkey sandwich, a tuna sandwich, a salad, or a soup. For a drink, she can choose juice, milk, or water. If she chooses a lunch at random, what is the probability that she chooses a sandwich (of either kind) and juice? 1 Multiply P(sandwich) = 2 1 P(juice) = 3 NOTE: This is an independent event because neither probability affected the other 1 1 P(sandwich AND juice) =  3 2 Answer: 1 P(sandwich AND juice) = 6 1/2

  13. Example 7-1b SWEATSZachary has a blue, a red, a gray, and a white sweatshirt. He also has blue, red, and gray sweatpants. If Zachary randomly pulls a sweatshirt and a pair of sweatpants from his drawer, what is the probability that they will both be blue? Answer: P(blue sweatshirt, blue sweatpants) = NOTE: This is an independent event 1/2

  14. Example 7-2a COMMITTEE SELECTIONMrs. Tierney will select two students from her class to be on the principal’s committee. She places the name of each student in a bag and selects one at a time. The class contains 15 girls and 12 boys. What is the probability she selects a girl’s name first, then a boy’s name? Write probability statement for the meal 15 P(girl’s name) = 27 There are 15 girls There is a total of 15 girls and 12 boys = 27 students 2/2

  15. Example 7-2a COMMITTEE SELECTIONMrs. Tierney will select two students from her class to be on the principal’s committee. She places the name of each student in a bag and selects one at a time. The class contains 15 girls and 12 boys. What is the probability she selects a girl’s name first, then a boy’s name? 15  3 = 3 Find the GCF P(girl’s name) = 27  3 Divide GCF into numerator and denominator 5 P(girl’s name) = 9 2/2

  16. Example 7-2a COMMITTEE SELECTIONMrs. Tierney will select two students from her class to be on the principal’s committee. She places the name of each student in a bag and selects one at a time. The class contains 15 girls and 12 boys. What is the probability she selects a girl’s name first, then a boy’s name? Write probability statement for boy’s name 5 P(girl’s name) = 9 There are 12 boys 12 P(boy’s name) = 26 There is a total of 15 girls and 12 boys = 27 students NOTE: This is a dependent event because the first probability affects the second 1 name has already been used so 27 - 1 = 26 students 2/2

  17. Example 7-2a COMMITTEE SELECTIONMrs. Tierney will select two students from her class to be on the principal’s committee. She places the name of each student in a bag and selects one at a time. The class contains 15 girls and 12 boys. What is the probability she selects a girl’s name first, then a boy’s name? 5 = 2 Find the GCF P(girl’s name) = 9 Divide GCF into numerator and denominator 12  2 P(boy’s name) = 26  2 6 P(boy’s name) = 13 2/2

  18. Example 7-2a COMMITTEE SELECTIONMrs. Tierney will select two students from her class to be on the principal’s committee. She places the name of each student in a bag and selects one at a time. The class contains 15 girls and 12 boys. What is the probability she selects a girl’s name first, then a boy’s name? Write probability statement for a girl first, then boy 5 P(girl’s name) = 9 6 Multiply probability of girl’s name and boy’s name P(boy’s name) = 13 5 6  P(girl first, then boy) = 9 13 2/2

  19. Example 7-2a COMMITTEE SELECTIONMrs. Tierney will select two students from her class to be on the principal’s committee. She places the name of each student in a bag and selects one at a time. The class contains 15 girls and 12 boys. What is the probability she selects a girl’s name first, then a boy’s name? Multiply 5 6 P(girl first, then boy) =  9 13 Find the GCF = 3 30  3 P(girl first, then boy) = Divide GCF into numerator and denominator  3 117 Answer: 10 P(girl first, then boy) = 39 2/2

  20. Example 7-2c * DOUGHNUTSA box of doughnuts contains 15 glazed doughnuts and 9 jelly doughnuts. Jennifer selects two doughnuts, one at a time. What is the probability that she selects a jelly doughnut first, then a glazed doughnut? Answer: P(jelly, then glazed) = 2/2

  21. End of Lesson 7 Assignment

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