Marble Draws with Replacement (Independent Events) Exercise

Marble Draws with Replacement (Independent Events)

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Marble Draws with Replacement (Independent Events)

Practice calculating probabilities for drawing marbles when items are replaced between draws, keeping event outcomes independent.

Questions

  1. MultiChoice

    A bag has 3 Red and 2 Blue marbles. You draw one, replace it, then draw again. How many outcome paths are on the color tree diagram?

  2. MultiChoice

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

  3. MultiChoice

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

  4. MultiChoice

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

  5. MultiChoice

    Bag has 3 Red and 2 Blue marbles. Draw twice with replacement. What is P(getting one Red and one Blue in any order)?

  6. MultiChoice

    A bag contains 1 Green and 3 Yellow marbles. Draw twice with replacement. What is P(Green then Yellow)?

  7. MultiChoice

    Bag has 1 Green and 3 Yellow marbles. Draw twice with replacement. What is P(both Yellow)?

  8. MultiChoice

    Bag has 4 White and 1 Black marble. Draw twice with replacement. What is P(Black then Black)?

  9. MultiChoice

    Bag has 4 White and 1 Black marble. Draw twice with replacement. What is P(at least one Black marble)?

  10. MultiChoice

    Bag has 2 Red, 2 Blue, and 1 Yellow marble. Draw twice with replacement. What is P(Red then Red)?

  11. MultiChoice

    Bag has 2 Red, 2 Blue, and 1 Yellow marble. Draw twice with replacement. What is P(Yellow then Yellow)?

  12. MultiChoice

    Why are marble draws independent when the marble is replaced before the next draw?