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Each of the 50 students participating in a workshop is either an under

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Each of the 50 students participating in a workshop is either an under [#permalink]

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New post 03 May 2016, 08:04
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62% (00:35) correct 38% (00:45) wrong based on 327 sessions

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Each of the 50 students participating in a workshop is either an undergraduate or a graduate student. If P is the probability that a randomly selected participant will be a female graduate student, is P less than \(\frac{1}{2}\)?

1) Of the participants, 24 are female.

2) Of the participants, 18 are graduate students.
[Reveal] Spoiler: OA

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Re: Each of the 50 students participating in a workshop is either an under [#permalink]

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New post 03 May 2016, 08:55
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Number of students = 50

Question asks whether number of female graduate students < 25.

St1: Female = 24 --> Even if all female are graduates, female graduate students < 25 --> Suffiicient

St2: Graduate students = 18 --> Even if all graduate students are female, female graduate students < 25 --> Sufficient

Answer: D

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Each of the 50 students participating in a workshop is either an under [#permalink]

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New post 15 Aug 2016, 09:29
Hi all,

I tried to answer this question in the matrix form as attached. The answer I got is correct however, Im not sure if thats the right approach as the information from both statements isn't matching. I interpreted "Each of the 50 students is either an undergraduate or a graduate student" as by putting 0 in the relevant columns as shown. Where am I wrong?

Thanks for your help!
Attachments

Screen Shot 2016-08-15 at 18.26.08.png
Screen Shot 2016-08-15 at 18.26.08.png [ 36.31 KiB | Viewed 4756 times ]

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Each of the 50 students participating in a workshop is either an under [#permalink]

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New post 15 Aug 2016, 09:47
HarveyKlaus wrote:
Hi all,

I tried to answer this question in the matrix form as attached. The answer I got is correct however, Im not sure if thats the right approach as the information from both statements isn't matching. I interpreted "Each of the 50 students is either an undergraduate or a graduate student" as by putting 0 in the relevant columns as shown. Where am I wrong?

Thanks for your help!


Youve written that 0 males are undergrads and 0 females are graduates.

You should have put the total in the margin.

Posted from my mobile device

The 'is either a or b' means theres no overlapping.
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Re: Each of the 50 students participating in a workshop is either an under [#permalink]

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New post 15 Nov 2016, 04:25
Vyshak wrote:
Number of students = 50

Question asks whether number of female graduate students < 25.

St1: Female = 24 --> Even if all female are graduates, female graduate students < 25 --> Suffiicient

St2: Graduate students = 18 --> Even if all graduate students are female, female graduate students < 25 --> Sufficient

Answer: D


Beautiful explanation Vyshak!
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Each of the 50 students participating in a workshop is either an under [#permalink]

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New post 29 Sep 2017, 12:13
How do we know it's not all the undergraduates that are female making F=32 hence p(f)=1/2? Why are we assuming from the info given on (2) that F=18 or less?

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Each of the 50 students participating in a workshop is either an under   [#permalink] 29 Sep 2017, 12:13
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