Question

which is a pair of dependent events?
spinning a spinner one time and then spinning it a second time
flipping a quarter and then flipping a nickel
removing a marble from a bag, not putting it back, and then removing a second marble
rolling a number cube and then choosing one letter from the alphabet

Explanation:

• Spinning a spinner twice: The outcome of the first spin does not affect the second spin. Each spin has the same set of possible outcomes.
• Flipping a quarter and then a nickel: The result of flipping the quarter has no impact on the result of flipping the nickel.
• Removing a marble without replacement: When the first marble is removed, it changes the composition of marbles in the bag. So, the probability of the second - marble removal is affected by the first - marble removal.
• Rolling a number cube and choosing a letter: The result of rolling the number cube has no relation to choosing a letter from the alphabet.

Answer:

removing a marble from a bag, not putting it back, and then removing a second marble