Tree Diagrams and Mutually Exclusive Events in Probability

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Explore the concept of tree diagrams and mutually exclusive events in probability through a series of examples and questions. Learn how to analyze different outcomes, calculate probabilities, and make informed decisions based on the given scenarios.

  • Probability
  • Tree Diagrams
  • Mutually Exclusive Events
  • Probability Theory
  • Mathematics

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  1. Tree Diagrams and Tree Diagrams and Mutually Exclusive Events Mutually Exclusive Events True/false Reflect Your Turn 0.5 WIN ? 0.5 LOSE 1 10 WIN 5 10 ? LOSE 3 10 Rule DRAW

  2. 3 2 4 WIN 10 5) 1) 0.5 WIN WIN Y / N Y / N 9) Y / N LOSE 7 LOSE LOSE 2 8 0.5 10 1 2 10) 6) 0.25 WIN WIN 0.3 WIN Y / N Y / N 2) Y / N 2 2 LOSE 0.25 LOSE LOSE 0.3 1 2 11) 0.3 WIN 7) WIN 0.3 3) WIN Y / N Y / N Y / N LOSE 1 2 LOSE -0.7 LOSE 0.7 1 8) 12) 1 WIN WIN Y / N 0.5 Y / N 4) WIN Y / N LOSE 0.5 LOSE 0 LOSE 1 Graeme.Mitchinson@excelsiornewcastle.org.uk

  3. 3 2 4 WIN 10 5) 1) 0.5 WIN WIN Y / N Y / N 9) Y / N LOSE 7 LOSE LOSE 2 8 0.5 10 1 2 10) 6) 0.25 WIN WIN 0.3 WIN Y / N Y / N 2) Y / N 2 2 LOSE 0.25 LOSE LOSE 0.3 1 2 11) 0.3 WIN 7) WIN 0.3 3) WIN Y / N Y / N Y / N LOSE 1 2 LOSE -0.7 LOSE 0.7 1 8) 12) 1 WIN WIN Y / N 0.5 Y / N 4) WIN Y / N LOSE 0.5 LOSE 0 LOSE 1 Graeme.Mitchinson@excelsiornewcastle.org.uk

  4. TEA 0.10 Y / N Y / N WIN 2 8 5 8 13) 0.20 COKE LOSE 15) 1 8 0.20 JUICE DRAW 0.50 COFFEE 1 4 TEA 1 4 16) WIN 0.25 Y / N COKE 14) 0.50 1 4 Y / N LOSE 0.75 JUICE 1 4 DRAW COFFEE Graeme.Mitchinson@excelsiornewcastle.org.uk

  5. TEA 0.10 Y / N Y / N WIN 2 8 5 8 13) 0.20 COKE LOSE 15) 1 8 0.20 JUICE DRAW 0.50 COFFEE 1 4 TEA 1 4 16) WIN 0.25 Y / N COKE 14) Y / N 0.50 1 4 LOSE 0.75 JUICE 1 4 DRAW COFFEE Graeme.Mitchinson@excelsiornewcastle.org.uk

  6. Your Turn WIN 1 10 WIN 0.4 1) 5 10 Y / N 3) Y / N 0.5 LOSE LOSE 4 10 0.1 DRAW DRAW 1 3 TEA Y / N 1 2 WIN Y / N 1 3 1 2 1 2 2) 4) COKE LOSE 1 3 JUICE DRAW 1 3 COFFEE Graeme.Mitchinson@excelsiornewcastle.org.uk

  7. Your Turn - Answers WIN 1 10 WIN 0.4 1) 5 10 Y / N 3) Y / N 0.5 LOSE LOSE 4 10 0.1 DRAW DRAW 1 3 TEA Y / N 1 2 WIN Y / N 1 3 1 2 1 2 2) 4) COKE LOSE 1 3 JUICE DRAW 1 3 COFFEE Graeme.Mitchinson@excelsiornewcastle.org.uk

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