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Exploring Probability: Outcomes and Tree Diagrams

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This review covers the concepts of probability, focusing on outcomes and tree diagrams. A practical example illustrates how a man with two pairs of pants (black and blue) and three shirts (dark, light, and striped) can create six unique outfits. Additionally, we explore the outcomes of flipping a nickel, demonstrating that one flip has two outcomes (heads or tails), while two flips lead to four outcomes. We further delve into tree diagrams to visualize probabilities in multiple flips, extending the concept to three flips, resulting in eight different outcomes.

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Exploring Probability: Outcomes and Tree Diagrams

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Presentation Transcript


  1. Probability 6.20 Review

  2. Outcomes & Tree Diagrams

  3. A man has two pair of pants. Black Blue

  4. He has three shirts. Dark Light Striped

  5. How many different ways can he dress?

  6. Six ways.

  7. Dark Shirt Light Shirt Black Pants Striped Shirt Dark Shirt Blue Pants Light Shirt Striped Shirt

  8. 2 x 3 = 6

  9. A nickel has two sides Head Tail

  10. Outcome of 1 flip Head or Tail

  11. Outcome of 2 flips

  12. Tree Diagram of 2 flips H H T H T T

  13. 2 x 2 = 4

  14. Outcome of 2 flips H H H T T H T T

  15. 3 flips

  16. H 3 flips H T H H T T H H T T T H T

  17. 2 x 2 x 2 = 8

  18. H H H 3 flips H H T H T H H T T H H T T H T T T H T T T

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