Question

Determine whether the following event is independent or dependent.

A bag contains 4 red apples and 2 green apples. You choose an apple without looking and eat it for your afternoon snack. Then your brother chooses an apple from the bag for his snack.

(1 point)
Responses

Independent. After you choose an apple for your snack, there are still red and green apples left in the bag.
Independent. After you choose an apple for your snack, there are still red and green apples left in the bag.

Dependent. If you choose a green apple for your snack, then there will only be red apples left from which your brother can choose his snack.
Dependent. If you choose a green apple for your snack, then there will only be red apples left from which your brother can choose his snack.

Dependent. After you select an apple for your snack, there are fewer apples from which your brother can choose his snack.
Dependent. After you select an apple for your snack, there are fewer apples from which your brother can choose his snack.

Independent. The color of apple you choose for your snack has nothing to do with the color of apple your brother can choose.

Answer 1

Dependent. The first choice changes the composition of the bag (no replacement), so the probability for your brother depends on what you ate. For example, initially there are 2 green/6 total = 1/3. If you ate a red, his chance of green is 2/5 = 0.4; if you ate a green, his chance is 1/5 = 0.2. Since these differ, the events are dependent.