Question

Choose whether each event is independent or dependent.
picking a card from a deck, replacing it, and then picking another card from the deck:
choosing a bag of chips from the pantry and then your sibling chooses a bag of chips from the pantry:
rolling a number cube and flipping a coin:

Answer 1

1) Picking a card, replacing it, then picking another card — Independent.
Replacing the card returns the deck to its original composition, so the second draw is unaffected by the first.

2) You choose a bag of chips, then your sibling chooses a bag — Dependent.
Your choice changes what remains in the pantry, so the sibling’s possible choices (and their probabilities) are affected.

3) Rolling a number cube and flipping a coin — Independent.
The die outcome does not affect the coin flip (and vice versa).