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# Of the 700 members of a certain organization

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Retired Moderator
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 150

Kudos [?]: 2411 [2] , given: 394

Of the 700 members of a certain organization [#permalink]  14 Dec 2015, 06:24
2
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Expert's post
00:00

Question Stats:

64% (01:15) correct 35% (01:13) wrong based on 34 sessions
Of the 700 members of a certain organization, 120 are lawyers. Two members of the organization will be selected at random. Which of the following is closest to the probability that neither of the members selected will be a lawyer?
A. 0.5
B. 0.6
C. 0.7
D. 0.8
E. 0.9

Practice Questions
Question: 10
Page: 152
Difficulty: medium
[Reveal] Spoiler: OA

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Sandy
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Retired Moderator
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 150

Kudos [?]: 2411 [1] , given: 394

Re: members of a certain organization, 120 are lawyers [#permalink]  14 Dec 2015, 06:29
1
KUDOS
Expert's post
Solution

Here we have an organization of 700 members. Now there are 120 lawyers in the 700 members thus there is 580 not lawyers. Now we have to choose 2 not lawyers.

So the probability becomes $$\frac{580}{700}*\frac{579}{699}$$.

Now we can use the calculator available at the GRE to find the value and it is close to 0.7.

Note that the second term is $$\frac{(580-1)}{(700-1)}$$ since one not lawyer was already selected in the first attempt.
_________________

Sandy
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Re: members of a certain organization, 120 are lawyers   [#permalink] 14 Dec 2015, 06:29
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