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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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New post Updated on: 09 Sep 2013, 02:47
1
5
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

82% (01:11) correct 18% (01:26) wrong based on 131 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

Originally posted by siddhans on 22 Jun 2011, 01:34.
Last edited by Bunuel on 09 Sep 2013, 02:47, edited 1 time in total.
Renamed the topic, edited the question and the OA.
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Re: PS MGMAT  [#permalink]

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New post 22 Jun 2011, 02:39
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]

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New post 22 Jun 2011, 21:11
1
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]

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New post 23 Dec 2011, 03:50
I also went to B. Why C?
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Re: PS MGMAT  [#permalink]

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New post 27 Dec 2011, 04:57
I also got B ... why C?????? Please someone explain
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Re: PS MGMAT  [#permalink]

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New post 28 Dec 2011, 03:13
Same here B as well, I don't understand why C
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Re: PS MGMAT  [#permalink]

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New post 09 Jan 2012, 15:24
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]

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New post 09 Jan 2012, 21:02
I also got the answer as B. Can you please check the answer
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Re: PS MGMAT  [#permalink]

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New post 09 Jan 2012, 21:28
1
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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New post 09 Sep 2013, 02:49
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Re: Pablo plays 3 rounds of a game, in which his chances of winn  [#permalink]

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New post 01 Dec 2019, 15:35
Hi All,

We're told that Pablo plays 3 rounds of a game and his chances of winning each round are 1/3, 1/6 and 1/N respectively (where n ≠ 0). We're asked for the probability that Pablo wins the first two rounds, but loses the third. This question can be solved by TESTing VALUES.

IF... N=3...then
Pablo has a 1/3 chance to win the first round
Pablo has a 1/6 chance to win the second round
Pablo has a 2/3 chance to lose the third round.

The probability of that exact event is (1/3)(1/6)(2/3) = 2/54 = 1/27. So we're looking for that answer when N=3. There's only one answer that matches...

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Re: Pablo plays 3 rounds of a game, in which his chances of winn   [#permalink] 01 Dec 2019, 15:35
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