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:

Dependent events are those where the outcome of one event affects the outcome of another.

• Choosing 2 socks without replacement: After picking the first sock, the number of socks left (and their colors) changes, so the second pick is affected.
• Picking 4 cards without replacement: Each card pick reduces the number of cards left, affecting subsequent picks.
• Flipping a coin 4 times: Each flip is independent (coin has no memory, outcome of one flip doesn't affect the next).
• Rolling a number cube twice: Each roll is independent (cube doesn't remember previous rolls).
• Spinning a spinner and rolling a cube: These are independent (outcome of spinner doesn't affect cube roll and vice versa).

Answer:

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