Question

which are dependent events? check all that apply. choosing 2 socks from a drawer, without replacement flipping a coin 4 times picking 4 cards from a deck, one after the other rolling a number cube twice spinning a spinner and rolling a number cube

Explanation:

• Choosing 2 socks without replacement: When the first sock is chosen, the number of socks (and their types) left for the second choice changes, so the second event depends on the first.
• Flipping a coin 4 times: Each coin flip is independent; the result of one flip doesn’t affect the next.
• Picking 4 cards one after another: After picking a card, the deck composition (number of cards, types) changes, so each subsequent pick depends on previous ones.
• Rolling a number cube twice: The result of the first roll doesn’t affect the second roll; they are independent.
• Spinning a spinner and rolling a cube: These are two separate actions with no influence on each other, so independent.

Answer:

• choosing 2 socks from a drawer, without replacement
• picking 4 cards from a deck, one after the other