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Pablo plays \(3\) rounds of a game, in which his chances of winning each round are \(\dfrac13, \dfrac16,\) and \(\dfrac1{n},\) respectively. If \(n \ne 0,\) what is the probability that Pablo wins the first two rounds, but loses the third?
A. \(\dfrac1{18n}\)
B. \(\dfrac{n-1}{18n}\)
C. \(\dfrac1{2n}\)
D. \(\dfrac{n+2}{2n}\)
E. \(\dfrac{3n-2}{2n}\)
Answer: B
Source: Manhattan GMAT
A. \(\dfrac1{18n}\)
B. \(\dfrac{n-1}{18n}\)
C. \(\dfrac1{2n}\)
D. \(\dfrac{n+2}{2n}\)
E. \(\dfrac{3n-2}{2n}\)
Answer: B
Source: Manhattan GMAT
