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# At a certain medical conference, there are only doctors and nurses. If

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Math Expert
Joined: 02 Sep 2009
Posts: 59573
At a certain medical conference, there are only doctors and nurses. If  [#permalink]

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06 Apr 2016, 07:06
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Difficulty:

55% (hard)

Question Stats:

52% (01:33) correct 48% (01:30) wrong based on 52 sessions

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At a certain medical conference, there are only doctors and nurses. If 4 people are to be randomly chosen from the conference attendees, what is the probability of randomly choosing at least n doctor(s)?

(1) The probability of randomly selecting 4 nurses is 1/3.
(2) n = 1.
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Joined: 18 Sep 2014
Posts: 223
Re: At a certain medical conference, there are only doctors and nurses. If  [#permalink]

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06 Apr 2016, 08:40
At a certain medical conference, there are only doctors and nurses. If 4 people are to be randomly chosen from the conference attendees, what is the probability of randomly choosing at least n doctor(s)?

(1) The probability of randomly selecting 4 nurses is 1/3.
(2) n = 1.

Statement 1 says there is 1 nurse for 3 doctors.(or 4 nurse to 8 dpcotors) Not sufficient.
statement says number of doctors to be 1. But doctors may be 3 or 8 etc.

Posted from my mobile device
Math Expert
Joined: 02 Aug 2009
Posts: 8284
Re: At a certain medical conference, there are only doctors and nurses. If  [#permalink]

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06 Apr 2016, 09:03
FightToSurvive wrote:
At a certain medical conference, there are only doctors and nurses. If 4 people are to be randomly chosen from the conference attendees, what is the probability of randomly choosing at least n doctor(s)?

(1) The probability of randomly selecting 4 nurses is 1/3.
(2) n = 1.

Statement 1 says there is 1 nurse for 3 doctors.(or 4 nurse to 8 dpcotors) Not sufficient.
statement says number of doctors to be 1. But doctors may be 3 or 8 etc.

Posted from my mobile device

Hi,
you will have to look at the solution again..
the information from the 2 statements should be sufficient...
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Math Expert
Joined: 02 Aug 2009
Posts: 8284
Re: At a certain medical conference, there are only doctors and nurses. If  [#permalink]

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06 Apr 2016, 09:08
Bunuel wrote:
At a certain medical conference, there are only doctors and nurses. If 4 people are to be randomly chosen from the conference attendees, what is the probability of randomly choosing at least n doctor(s)?

(1) The probability of randomly selecting 4 nurses is 1/3.
(2) n = 1.

Hi,
Q tells us that 4 people are to be chosen and we have to choose atleast n doctors..

lets see the statements

(1) The probability of randomly selecting 4 nurses is 1/3.
We do not anything about n..
Insuff

(2) n = 1.
we just know that we have to choose atleast 1 doctor..

Combined..
If we have to choose 4 people from set of doctors and nurses, Prob that all 4 are Nurses is 1/3..
We are looking for prob that atleast one is a doctor out of 4 = 1- prob none is doctor in 4..
None doctor is SAME as all are nurses, which is 1/3
so ans= 1-1/3=2/3

Suff
C
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Re: At a certain medical conference, there are only doctors and nurses. If  [#permalink]

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23 Nov 2019, 21:43
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Re: At a certain medical conference, there are only doctors and nurses. If   [#permalink] 23 Nov 2019, 21:43
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