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Today’s Lesson

Today’s Lesson. Using Tree Diagrams to Find the Probabilities of Events. Whole-Class Skills Lesson. Today we are going to conduct a number of experiments and list all possible outcomes using tree diagrams to find the probabilities of events.

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Today’s Lesson

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  1. Today’s Lesson Using Tree Diagrams to Find the Probabilities of Events

  2. Whole-Class Skills Lesson Today we are going to conduct a number of experiments and list all possible outcomes using tree diagrams to find the probabilities of events.

  3. Use a tree diagram to list all the possible outcomes. Hayley can choose from black or tan pants and a white, yellow, or purple shirt.

  4. T B W Y P W Y P (TW) (TY) (TP) (BW) (BY) (BP)

  5. B T W Y P W Y P (TW) (TY) (TP) (BW) (BY) (BP) List all the possible outcomes. {TW, TY, TP, BW, BY, BP}

  6. B T W Y P W Y P (TW) (TY) (TP) (BW) (BY) (BP) How many possible outcomes are there? 2·3 = 6

  7. 1 6 Possible Outcomes: {BW, BV, BP, TW, TY, TP} What is the probability of wearing tan pants and white shirt? There is only 1 outcome of tan pants and white shirt out of 6 possible outcomes.

  8. 1 3 = {TW, TY, TP} 2 6 Possible Outcomes: {BW, BV, BP, TW, TY, TP} What is the probability of wearing tan pants?

  9. List all the possible outcomes. At a city fair, Mitchell wants a candy apple. At a booth, he could choose from a red apple (R) or green apple (G), strawberry candy coating (S) or caramel coating (C), and peanut (P) or walnuts (W). Possible Outcomes {RSP, RSW, RCP, RCW, GSP, GSW, GCP, GCW}

  10. Possible Outcomes {RSP, RSW, RCP, RCW, GSP, GSW, GCP, GCW} How many possible outcomes? 2·2·2 = 8

  11. 2 1 = 8 4 {RSW, GSW} Possible Outcomes {RSP, RSW, RCP, RCW, GSP, GSW, GCP, GCW} What is the probability of having strawberry candy coating and walnuts?

  12. 6 3 = 8 4 {RSP, RSW, RCP, RCW, GSW, GCW} Possible Outcomes {RSP, RSW, RCP, RCW, GSP, GSW, GCP, GCW} What is the probability of having a red apple or peanuts?

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