Determine whether the following scenario describes independent or dependent events. 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 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. 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. 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. 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. No one ever wins at the claw game, so the probabilities of Everleigh and Logan winning the prize are the same, 0.
1 answer
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, the outcome of Everleigh's game (dropping the prize) affects the conditions under which Logan plays. Since the claw game involves physical manipulation of the prizes and Everleigh's actions changed the state of the game (possibly affecting the arrangement or availability of prizes), the events are dependent.
