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

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

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New post 25 Oct 2009, 05:16
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A
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E

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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.
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Re: prob3  [#permalink]

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New post 25 Oct 2009, 07:34
Answer is A.

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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Re: prob3  [#permalink]

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New post 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

Answer is (a)
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Re: prob3  [#permalink]

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New post 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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New post 23 Mar 2019, 05:21
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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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