Question: N fair dice are thrown at the same time. Those that show a six are put aside, and the remaining dice, if any, are again

N fair dice are thrown at the same time. Those that show a six are put aside, and the remaining dice, if any, are again thrown at the same time and those with a six are put aside. This process is repeated until the last die shows a six. The random variable X denotes the number of throws needed for this. Show:

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