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Molly is playing a game that requires her to roll a fair die repeatedly until she first rolls a 1, at which point she mu

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by Vincen » Sun Dec 26, 2021 10:03 am

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Molly is playing a game that requires her to roll a fair die repeatedly until she first rolls a 1, at which point she must stop rolling the die. What is the probability that Molly will roll the die less than four times before stopping?

\(A. \,\dfrac{47}{216}\)
\(B. \,\dfrac{67}{216}\)
\(C. \,\dfrac{91}{216}\)
\(D. \,\dfrac{111}{216}\)
\(E. \,\dfrac{125}{216}\)

Answer: C

Source: Manhattan GMAT
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