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A nine year old boy named Random Randy loves playing rock-paper-scissors. Random Randy, of course, plays...

A nine year old boy named Random Randy loves playing rock-paper-scissors. Random Randy, of course, plays either rock, paper or scissors each with the same probability of π = 1/3. His friend, Sammy Stats, likes to document when Randy plays "rock" each round of play. What is the fewest number of rounds Randy can play for the distribution of the number of times "rock" is played to be approximately normal?

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