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20 of the 80 employees at a certain organization are doctors. If two

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
20 of the 80 employees at a certain organization are doctors. If two  [#permalink]

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17 Jan 2019, 23:51
00:00

Difficulty:

55% (hard)

Question Stats:

55% (01:40) correct 45% (01:25) wrong based on 36 sessions

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20 of the 80 employees at a certain organization are doctors. If two employees are to be selected at random, which of the following is closest to the probability that neither employee selected is a doctor?

A 0.2
B 0.4
C 0.6
D 0.7
E 0.8

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Location: India
Concentration: Sustainability, Marketing
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WE: Marketing (Energy and Utilities)
Re: 20 of the 80 employees at a certain organization are doctors. If two  [#permalink]

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18 Jan 2019, 06:25
Bunuel wrote:
20 of the 80 employees at a certain organization are doctors. If two employees are to be selected at random, which of the following is closest to the probability that neither employee selected is a doctor?

A 0.2
B 0.4
C 0.6
D 0.7
E 0.8

not doctors = 80-20 = 60
60*59/ 80 * 70
=> ~ 0.6 IMO C
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Joined: 09 Mar 2018
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Re: 20 of the 80 employees at a certain organization are doctors. If two  [#permalink]

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18 Jan 2019, 06:46
Bunuel wrote:
20 of the 80 employees at a certain organization are doctors. If two employees are to be selected at random, which of the following is closest to the probability that neither employee selected is a doctor?

A 0.2
B 0.4
C 0.6
D 0.7
E 0.8

Now if we are selecting neither employee as a doctor this will mean we will be selecting from 60 employees

60 c 2 / 80 C 2

= 60 * 59 / 80 * 79
= 0.56
~ 0.6

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Joined: 15 Feb 2018
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Re: 20 of the 80 employees at a certain organization are doctors. If two  [#permalink]

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18 Jan 2019, 18:42
We don't need exact, just approximate
20 of the 80 employees at a certain organization are doctors
3/4 are not doctors

two employees...probability that neither employee selected is a doctor
3/4·59/79
59/79 is basically 3/4
3/4·3/4=9/16

16·6=96 which is basically 100
9·6/16·6=54/96
96 is a bit below 100, so the answer should be a bit above 54/100

C
Re: 20 of the 80 employees at a certain organization are doctors. If two   [#permalink] 18 Jan 2019, 18:42
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