Comparing Independent vs Dependent Events with Tree Diagrams Exercise

Comparing Independent vs Dependent Events with Tree Diagrams

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Comparing Independent vs Dependent Events with Tree Diagrams

Use tree diagrams to compare and contrast how probabilities change between independent and dependent event scenarios.

Questions

  1. MultiChoice

    Drawing 2 marbles with replacement vs without replacement: what makes the draws with replacement independent?

  2. MultiChoice

    Bag has 3 Red and 2 Blue marbles. Draw 2 WITH replacement. What is P(Red, then Red)?

  3. MultiChoice

    Bag has 3 Red and 2 Blue marbles. Draw 2 WITHOUT replacement. What is P(Red, then Red)?

  4. MultiChoice

    Which probability of drawing 2 Red marbles is larger: With replacement (9/25 = 0.36) or Without replacement (6/20 = 0.30)?

  5. MultiChoice

    Bag has 2 Red and 4 Blue marbles. Draw 2 WITH replacement. What is P(Blue, then Blue)?

  6. MultiChoice

    Bag has 2 Red and 4 Blue marbles. Draw 2 WITHOUT replacement. What is P(Blue, then Blue)?

  7. MultiChoice

    In a tree diagram, how are dependent events visually identified?

  8. MultiChoice

    Flipping a fair coin twice in a row is an example of what type of events?

  9. MultiChoice

    Picking 2 students from a class of 20 without replacement is an example of what type of events?

  10. MultiChoice

    Bag has 5 Red and 5 Blue marbles. Draw 2 WITHOUT replacement. What is P(Red 1st, Blue 2nd)?

  11. MultiChoice

    Bag has 5 Red and 5 Blue marbles. Draw 2 WITH replacement. What is P(Red 1st, Blue 2nd)?

  12. MultiChoice

    Why does replacement maintain event independence in multi-stage probability experiments?