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A breakfast cereal maker is putting toys in the boxes of cereals as part of a promotion. There are four different toys to collect. A child desperately wants to collect the whole set, and his/her parents are concerned about how many boxes of the same cereal they have to go through before he/she achieves this. It is assumed that each cereal box is equally probable to have any one of the toys inside, and that there is only one toy per box. On average, how many cereal boxes are needed to be bought so the child has the complete set?

Answer