Question

which events are independent? select each correct answer. one ball is drawn from a bag of balls after another ball is drawn without replacement. a spinner is spun and a coin is flipped. two number cubes are rolled at the same time. white marbles are drawn from a bag of marbles without replacing the marbles

Explanation:

• For "One ball is drawn from a bag of balls after another ball is drawn without replacement": The first draw affects the composition of the bag for the second draw. So, these are dependent events.
• For "A spinner is spun and a coin is flipped": The outcome of spinning the spinner has no impact on the outcome of flipping the coin and vice - versa.
• For "Two number cubes are rolled at the same time": The result of rolling one cube does not influence the result of rolling the other cube.
• For "White marbles are drawn from a bag of marbles without replacing the marbles": Each draw changes the number of marbles in the bag, so the events are dependent.

Answer:

• B. A spinner is spun and a coin is flipped
• C. Two number cubes are rolled at the same time