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# One number, k, is selected at random from a set of 11 consec

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Director
Joined: 01 Apr 2008
Posts: 648
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
One number, k, is selected at random from a set of 11 consec  [#permalink]

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25 Oct 2009, 05:16
4
00:00

Difficulty:

75% (hard)

Question Stats:

42% (01:28) correct 58% (01:43) wrong based on 92 sessions

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One number, k, is selected at random from a set of 11 consecutive even integers. What is the probability that k = 10?

(1) The average (arithmetic mean) of the set is zero.

(2) The probability that k = 10 is the same as the probability that k = -10.
Manager
Joined: 18 Aug 2009
Posts: 246

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25 Oct 2009, 07:34

Statement 1: The set must be = {-10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10}
Statement 2: We do not know if probability is 0 or 1/11. Insufficient.
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Location: London

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09 Oct 2010, 17:08
1
Economist wrote:
One number, k , is selected at random from a set of 11 consecutive even integers. What is the probability that
k = 10?

(1) The average (arithmetic mean) of the set is zero.

(2) The probability that k = 10 is the same as the probability that k = -10.

(1) The set has to be {-10,-8,...,8,10}. So prob(k=10)=1/11. Sufficient

(2) Both 10 and -10 cannot be in any set of ten consecutive even integers except the above set. So either probability is 1/11 OR we have a set with neither inside, in which case probability is 0. Insufficient

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Manager
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Joined: 04 Feb 2010
Posts: 86
Concentration: Social Entrepreneurship, Social Entrepreneurship
GPA: 3
WE: Consulting (Insurance)

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16 Oct 2010, 05:34
1) The average (arithmetic mean) of the set is zero. or the question stem does not state that 10 is a part of the set.. so E..

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Re: One number, k, is selected at random from a set of 11 consec  [#permalink]

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23 Mar 2019, 05:21
Hello from the GMAT Club BumpBot!

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: One number, k, is selected at random from a set of 11 consec   [#permalink] 23 Mar 2019, 05:21
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