In a park, there are three friends: Alice, Bob, and Carol. Alice has a red backpack with five apples inside. She gives two apples to Bob and puts the remaining apples in her blue backpack. Later, while Alice is away, Bob takes one apple from his bag and places it in Carol's yellow backpack without telling anyone. When Alice returns, she wants to distribute the remaining apples equally among them. How many apples does each person think they will receive? Provide a brief response.
Alice starts with five apples and gives two to Bob, leaving her with three apples, which she then puts in her blue backpack. Alice believes she has three apples. Bob originally received two apples from Alice, but he gives one to Carol, so he thinks he has one apple left. Carol did not originally have any apples but receives one from Bob, so she believes she has one apple. When Alice decides to distribute the remaining apples equally, she uses her count of three apples to determine how to divide them, since she is unaware of the exchange between Bob and Carol. Alice expects to give one apple to each friend, including herself, as she thinks that will evenly distribute her three apples between her, Bob, and Carol. However, Bob and Carol expect to receive one apple each from the three Alice thinks she has, in addition to what they already count as theirs. Thus, Bob expects to have two apples in total (one of his own plus one from Alice), and Carol expects to have two as well (one of her own plus one from Alice).