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# The only contents of a container

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Manager
Joined: 17 Aug 2019
Posts: 156
Followers: 0

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

The only contents of a container [#permalink]  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
Joined: 17 Aug 2019
Posts: 156
Followers: 0

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

Re: The only contents of a container [#permalink]  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
Joined: 18 Apr 2015
Posts: 8729
Followers: 175

Kudos [?]: 2012 [0], given: 8049

Re: The only contents of a container [#permalink]  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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