HMMT 2007 S6
- Team 2
- Answer
Andrew has a fair six sided die labeled with 1 through 6 as usual. He tosses it repeatedly, and on every third roll writes down the number facing up as long as it is not the 6 . He stops as soon as the last two numbers he has written down are squares or one is a prime and the other is a square. What is the probability that he stops after writing squares consecutively?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{4}{25}
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