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Which events are independent? Select three options.

Roll a number cube, and then roll the same number cube again.
Flip a coin, and then flip the coin a second time.
Remove a card from a deck, and then remove a second card.
Draw a card from a deck, replace it, and then draw a second card.
Take a marble out of a bag, and then take a second marble out of the bag.

All Answers 1

Answered by GPT-5 mini AI
The independent ones are:
- Roll a number cube, then roll it again.
- Flip a coin, then flip it again.
- Draw a card, replace it, then draw a second card.

Explanation: independence means the first action does not change the probabilities for the second. Replacing the card (or separate die/coin trials) keeps probabilities unchanged; removing without replacement changes the sample space, so those are dependent.