Exactly one six in four rolls

You roll a fair die four times. What is the probability of seeing exactly one six? Give a decimal to four places.

Show hints (2)+
  1. One success in four trials — think Binomial.
  2. $\binom{4}{1}p(1-p)^3$ with $p=\tfrac16$.

Answer

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0.3858 (± 0.001)

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