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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, 07:04
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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.
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New post 03 May 2016, 07:55
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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, 08:29
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 5903 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, 08:47
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, 03:25
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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New post 29 Sep 2017, 11:13
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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Re: Each of the 50 students participating in a workshop is either an under [#permalink]

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New post 12 Nov 2017, 18:23
If P is the probability that a randomly selected participant will be a female graduate student, is P less than 1212?

I misread the statement as asking for P within "graduate student" subset only. That is, the probability < 1/2 of picking a female within graduate student. Did not realize that probability asked is for the entire set of 50 students...

Did anyone else ran into this silly error? Or could the problem be worded more carefully??

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Re: Each of the 50 students participating in a workshop is either an under   [#permalink] 12 Nov 2017, 18:23
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