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%

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Presentation transcript:

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/ divided by 8 = 37.5%

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

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

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

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

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)

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

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

3. MEATHamTurkey BREAD R S WR 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.

5. COINHeads Tails SPINNER Sample Space: H1; H2; H3; H4; H5 T1; T2; T3; T4; T5 There are 10 possible outcomes.

5. COINHeads Tails SPINNER Sample Space: H1; H2; H3; H4; H5 T1; T2; T3; T4; T5 There are 10 possible outcomes.

HOW MANY POSSIBLE OUTCOMES possible outcomes 7.16 possible outcomes 8. SKIPPED possible outcomes possible outcomes

11. QUARTERHT DIMEH TH 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