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There are 216 dices. They are rolled, and the sixes ar taken out after each roll. The rolling commences until all dices are gone.

The question is, to develop an equation/function or model that descibes the above behaviour, and use it to predict on which roll the number of dice are exactly half of the original number, that is, 108.

I think its smth like a dice has 1/6 probability of getting a six. There must be an extension of the equation to describe how the remaining dices will behave after a certain number has been picked out. Smth like the sum of 1/6 to 216 (n) minus the number of sixes or smth. I also think that the rolls are independent from each other. At this stage, everything gets messed up.

plz help!