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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] New post 22 Jun 2011, 00:34
00:00
A
B
C
D
E

Difficulty:

  25% (low)

Question Stats:

59% (01:33) correct 41% (00:25) wrong based on 70 sessions
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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Re: PS MGMAT [#permalink] New post 22 Jun 2011, 01:39
1/3 * 1/6 * (1-1/n)

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

= (n-1)/18n

Answer - B
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Re: PS MGMAT [#permalink] New post 22 Jun 2011, 20:11
p(winning) = 1/3 * 1/6 * (n-1/n)

=(n-1)/(18n)

Answer is B.

r u sure OA is C?
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Re: PS MGMAT [#permalink] New post 23 Dec 2011, 02:50
I also went to B. Why C?
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Re: PS MGMAT [#permalink] New post 27 Dec 2011, 03:57
I also got B ... why C?????? Please someone explain
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Re: PS MGMAT [#permalink] New post 28 Dec 2011, 02:13
Same here B as well, I don't understand why C
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Re: PS MGMAT [#permalink] New post 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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Re: PS MGMAT [#permalink] New post 09 Jan 2012, 20:02
I also got the answer as B. Can you please check the answer
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Re: PS MGMAT [#permalink] New post 09 Jan 2012, 20:28
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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] New post 09 Sep 2013, 01:49
Expert's post
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.

Answer: B.
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Re: Pablo plays 3 rounds of a game, in which his chances of winn   [#permalink] 09 Sep 2013, 01:49
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