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Topic : Outcomes of Compound Events Aim : How will we find all the possible results or outcomes of a multi-step problem?

Topic : Outcomes of Compound Events Aim : How will we find all the possible results or outcomes of a multi-step problem?. Standard : 6.S.9 List possible outcomes for compound events Vocabulary: Tree diagram. Do Now.

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Topic : Outcomes of Compound Events Aim : How will we find all the possible results or outcomes of a multi-step problem?

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  1. Topic: Outcomes of Compound EventsAim: How will we find all the possible results or outcomes of a multi-step problem? Standard: 6.S.9 List possible outcomes for compound events Vocabulary: Tree diagram

  2. Do Now How many different three-digit whole numbers can you write, using each of the digits 1-3 once? What are those numbers? Here are the first two done for you… 123, 132

  3. Possible Outcomes For some problems you may need to know all the possible outcomes. Using a systematic approach you list all of the possibilities

  4. Possible Outcomes Janet is planning her class schedule. What are the possible schedules that Janet can plan for her first two classes?

  5. Different Ways to Find All Possibilities You can make a table. For each language, list each art choice

  6. Different Ways to Find All Possibilities You can use a grid. Write each different pair of choices. drawing pottery Spanish French German

  7. Different Ways to Find All Possibilities You can draw a tree diagram. Drawing Pottery Spanish Drawing Pottery French Drawing Pottery German

  8. Solution Janet has these choices: Spanish and drawing, Spanish and pottery, French and drawing, French and pottery, German and drawing, German and pottery Janet has 6 choices

  9. Now Try Some On Your Own Make a grid, a table and a tree diagram to show all possible outcomes. • Flip a coin, then pick a card. • Toss a number cube, then spin this spinner. A C B

  10. Sometimes you do not need to know the specific outcomes. If you only need to know the number of possible outcomes, you can use the fundamental counting principle. If an experiment or problem has two steps with m different ways to do the first step and n different ways to do the second step, the total number of possible outcomes for both steps is m x n . Janet has 3 languages choice (m ways to choose) and 2 art choices (n ways to choose). Total number of possible schedules = m x n = 3 x 2 = 6

  11. Lets try one on your own… Use the fundamental counting principle to solve this problem. In a fashion show, one model has to wear 3 dresses, 3 different colors and 4 different sizes. How many outcomes

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