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Unit 3 – Sample Space/ Tree Diagrams

Unit 3 – Sample Space/ Tree Diagrams. Do Now. P(bird) 3/33 = 1/11 P(cat or dog) 23/33. P(purple) 2/8 = ¼ = 25% P(orange) 1/8 = 12.5%. Do Now. P ( not black) 3/8 3/8 = x/100 300 divided by 8 = 37.5%. Vocabulary. Sample Space: A list of all possible outcomes

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Unit 3 – Sample Space/ Tree Diagrams

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  1. Unit 3 – Sample Space/ Tree Diagrams

  2. Do Now • P(bird) • 3/33 = 1/11 • P(cat or dog) • 23/33 • P(purple) • 2/8 = ¼ = 25% • P(orange) • 1/8 = 12.5%

  3. Do Now • P(not black) • 3/8 • 3/8 = x/100 • 300 divided by 8 = • 37.5%

  4. Vocabulary • Sample Space:A list of all possible outcomes • A tree diagram is one way to create this list

  5. Ice Cream • A vendor sells vanilla and chocolate ice cream. Customers can choose from a waffle or sugar cone. Find the sample space… • What are the categories or objects? • ICE CREAM • CONE

  6. Tree Diagram ICE CREAM Vanilla Chocolate CONE waf. sug. waf. sug. Sample Space: Vanilla+Waffle; Vanilla+Sugar; Chocolate+Waffle; Chocolate+Sugar There are 4 possible outcomes

  7. Partner Practice • The animal shelter has both male and female Labradors in yellow, brown, or black. Find the sample space for all possible Labradors available at the shelter. • What are the categories or objects? • GENDER • COLOR

  8. Coins • Delmar tosses three coins. If all three coins show up heads, Delmar wins. Otherwise, Kara wins. Find the sample space. • What are the categories or objects? • COIN 1 • COIN 2 • COIN 3 • P(Delmar wins)

  9. Independent Practice • A coin is tossed twice TOSS 1 Heads Tails TOSS 2 Heads Tails Heads Tails Sample Space: Heads, Heads; Heads Tails Tails, Heads; Tails, Tails There are 4 possible outcomes

  10. 2. A pair of brown or black sandals are available in sizes 7, 8, or 9 COLOR Brown Black SIZE 7 8 9 7 8 9 Sample Space: Brown 7; Brown 8; Brown 9 Black 7; Black 8; Black 9 There are 6 possible outcomes.

  11. 3. MEAT Ham Turkey BREAD R S W R S W SS: ham on rye; ham on sour; ham on white turkey on rye; turkey on sour; turkey on wh. There are 6 possible outcomes.

  12. 5. COIN Heads Tails SPINNER 1 2 3 4 5 1 2 3 4 5 Sample Space: H1; H2; H3; H4; H5 T1; T2; T3; T4; T5 There are 10 possible outcomes.

  13. 5. COIN Heads Tails SPINNER 1 2 3 4 5 1 2 3 4 5 Sample Space: H1; H2; H3; H4; H5 T1; T2; T3; T4; T5 There are 10 possible outcomes.

  14. HOW MANY POSSIBLE OUTCOMES 6. 15 possible outcomes 16 possible outcomes SKIPPED 12 possible outcomes 12 possible outcomes

  15. 11. QUARTER H T DIME H T H T NICKEL H T H T H T H T Sample Space: HHH; HHT; HTH;HTT THH; THT; TTH; TTT There are 8 possible outcomes

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