Pablo plays 3 rounds of a game, in which his chances of winn : GMAT Problem Solving (PS)
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# Pablo plays 3 rounds of a game, in which his chances of winn

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Pablo plays 3 rounds of a game, in which his chances of winn [#permalink]

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22 Jun 2011, 00:34
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Difficulty:

5% (low)

Question Stats:

69% (01:51) correct 31% (00:31) wrong based on 113 sessions

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Pablo plays 3 rounds of a game, in which his chances of winning each round are 1/3 ,1/6 , and 1/n, respectively. If n ≠ 0, what is the probability that Pablo wins the first two rounds, but loses the third?

A. 1/18n
B. (n-1)/18n
C. 1/2n
D. (n+2)/2n
E. (3n-2)/2n
[Reveal] Spoiler: OA

Last edited by Bunuel on 09 Sep 2013, 01:47, edited 1 time in total.
Renamed the topic, edited the question and the OA.
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22 Jun 2011, 01:39
1/3 * 1/6 * (1-1/n)

= 1/18 * (n-1)/n

= (n-1)/18n

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22 Jun 2011, 20:11
p(winning) = 1/3 * 1/6 * (n-1/n)

=(n-1)/(18n)

r u sure OA is C?
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23 Dec 2011, 02:50
I also went to B. Why C?
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27 Dec 2011, 03:57
I also got B ... why C?????? Please someone explain
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28 Dec 2011, 02:13
Same here B as well, I don't understand why C
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09 Jan 2012, 14:24
This is the quickest MGMAT problem I have ever solved.
1st, 2nt, no 3rd.

1/3 * 1/6 * (1 - 1/n) = (n-1)/18n
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09 Jan 2012, 20:02
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09 Jan 2012, 20:28
1
KUDOS
B.
Please explain the solution given in MGMAT for OA=C.
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Re: Pablo plays 3 rounds of a game, in which his chances of winn [#permalink]

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09 Sep 2013, 01:49
siddhans wrote:
Pablo plays 3 rounds of a game, in which his chances of winning each round are 1/3 ,1/6 , and 1/n, respectively. If n ≠ 0, what is the probability that Pablo wins the first two rounds, but loses the third?

A. 1/18n
B. (n-1)/18n
C. 1/2n
D. (n+2)/2n
E. (3n-2)/2n

Edited the OA.

P = 1/3*1/6*(1-1/n) = (n-1)/18n.

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Re: Pablo plays 3 rounds of a game, in which his chances of winn [#permalink]

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28 Mar 2016, 07:17
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Pablo plays 3 rounds of a game, in which his chances of winn   [#permalink] 28 Mar 2016, 07:17
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