Question: Claire flips a coin until she gets a head for the first time. Say it takes her n times. Then (afterwards) she rolls exactly n

Claire flips a coin until she gets a head for the first time. Say it takes her n times. Then (afterwards) she rolls exactly n dice. What is the probability that none of the dice show the value 1?
For instance, if it takes her 7 flips to get a head for the first time, then she rolls 7 dice.

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