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The only contents of a container

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Manager
Manager
Joined: 17 Aug 2019
Posts: 156
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Kudos [?]: 14 [0], given: 34

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The only contents of a container [#permalink] New post 08 Nov 2019, 08:15
00:00

Question Stats:

28% (01:14) correct 71% (00:26) wrong based on 7 sessions
The only contents of a container are 14 disks that are each numbered with a different integer that is one of the integers 1 through 14 inclusive. If 3 disks are randomly removed from the container, one after the other, and without replacement, what is the probability that the median of the numbers on the 3 selected disks will be 8?

A) \(\frac{3}{26}\)
B) \(\frac{3}{14}\)
C) \(\frac{2}{7}\)
D) \(\frac{1}{3}\)
E) \(\frac{165}{364}\)
[Reveal] Spoiler: OA
Manager
Manager
Joined: 17 Aug 2019
Posts: 156
Followers: 0

Kudos [?]: 14 [0], given: 34

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Re: The only contents of a container [#permalink] New post 08 Nov 2019, 08:19
Again for the Million time to fall in the probability trap. This question I can't figure out why the possible outcomes were found through combinations and my way didn't work! what is my pitfall?

when I solved it like this : (7/14) * (1/13) * (6/12) = 42/2184

the numerator forms the required outcomes and the den. the possible outcome . pls help. My trials to overcome probability question aren't succeeding
Founder
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Re: The only contents of a container [#permalink] New post 08 Nov 2019, 11:13
Expert's post
There are GRE exams that will not contain a probability question at all or maybe only one.

So I would not stress too much on this area
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Re: The only contents of a container   [#permalink] 08 Nov 2019, 11:13
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