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1- What is the expectation of the number of stickers taken by the second child, as a function of the initial number of stickers N?

2- If E_N denotes the expected number of children who take at least one sticker from the box given that it initially contained N stickers. How can I compute a formula to represent E_N+1 in terms of E_1+⋯+E_N. Also, how E_N can be expressed in terms of k?