Determine whether the following scenario describes independent or dependent events.

Question

Everleigh and Logan decide to play the claw game at an arcade. They both have their eye on the same prize. Everleigh plays the game first but drops the prize after picking it up with the claw. Then Logan plays the game.

(1 point)
Responses

Independent. No one ever wins at the claw game, so the probabilities of Everleigh and Logan winning the prize are the same, 0.
Independent. No one ever wins at the claw game, so the probabilities of Everleigh and Logan winning the prize are the same, 0.

Dependent. There are more tokens in the machine when Logan takes his turn, which affects his probability of winning a prize. The events are dependent.
Dependent. There are more tokens in the machine when Logan takes his turn, which affects his probability of winning a prize. The events are dependent.

Dependent. Some of the prizes are likely to have shifted during Everleigh’s game, which would affect the probability of Logan winning the prize.
Dependent. Some of the prizes are likely to have shifted during Everleigh’s game, which would affect the probability of Logan winning the prize.

Independent. The prizes in the claw game are the same when Logan plays as when Everleigh plays. So, the probabilities of them winning the prize they want are the same. The events are independent.

Answer 1

The correct response is:

Dependent. Some of the prizes are likely to have shifted during Everleigh’s game, which would affect the probability of Logan winning the prize.

In this scenario, Everleigh's attempt to win the prize influenced the state of the game for Logan's turn. Since Everleigh dropped the prize after picking it up with the claw, it is likely that the position of the other prizes in the machine could have changed, thus affecting Logan's chances of winning. Hence, the events are dependent.