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# A certain college has 8,978 full-time students, some of whom

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A certain college has 8,978 full-time students, some of whom [#permalink]  30 May 2019, 16:34
Expert's post
A certain college has 8,978 full-time students, some of whom live on campus and some of whom live off campus.

The following table shows the distribution of the 8,978 full-time students, by class and living arrangement.

Attachment:

#GREexcercise A certain college has 8,978 full-time students.jpg [ 39.23 KiB | Viewed 6100 times ]

(a) If one full-time student is selected at random, what is the probability that the student who is chosen will not be a freshman?
(b) If one full-time student who lives off campus is selected at random, what is the probability that the student will be a senior?
(c) If one full-time student who is a freshman or sophomore is selected at random, what is the probability that the student will be a student who lives on campus?

[Reveal] Spoiler: OA
$$(a) \frac{6,541}{8,978} (b) \frac{1,623}{4,438} (c) \frac{3,048}{4,581}$$

Math Review
Question: 13
Page: 321
Difficulty: medium/hard

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Re: A certain college has 8,978 full-time students, some of whom [#permalink]  31 May 2019, 08:26
Expert's post
Carcass wrote:
A certain college has 8,978 full-time students, some of whom live on campus and some of whom live off campus.

The following table shows the distribution of the 8,978 full-time students, by class and living arrangement.

Attachment:
#GREexcercise A certain college has 8,978 full-time students.jpg

(a) If one full-time student is selected at random, what is the probability that the student who is chosen will not be a freshman?
(b) If one full-time student who lives off campus is selected at random, what is the probability that the student will be a senior?
(c) If one full-time student who is a freshman or sophomore is selected at random, what is the probability that the student will be a student who lives on campus?

[Reveal] Spoiler: OA
$$(a) \frac{6,541}{8,978} (b) \frac{1,623}{4,438} (c) \frac{3,048}{4,581}$$

Math Review
Question: 13
Page: 321
Difficulty: medium/hard

(a) If one full-time student is selected at random, what is the probability that the student who is chosen will not be a freshman?
We're told that there are 8,978 full-time students
Among those students, the number of freshmen = 1812 + 625 = 2437

The remaining students are NOT freshmen
So, the number of students who are NOT freshmen = 8,978 - 2437 = 6541

So, P(a non freshman is chosen) = 6541/8,978

------------------------------------------
(b) If one full-time student who lives off campus is selected at random, what is the probability that the student will be a senior?
The number of full-time students who live OFF campus = 625 + 908 + 1282 + 1623 = 4438
Among those 4438 students there are 1623 seniors
So, P(a senior is selected) = 1623/4438

------------------------------------------
(c) If one full-time student who is a freshman or sophomore is selected at random, what is the probability that the student will be a student who lives on campus?
The number of students who are freshmen OR sophomores = 1812 + 1236 + 625 + 908 = 4581
Among those 4551 students the number of students who live ON campus = 1812 + 1236 = 3048

So, P(chosen student lives ON campus) = 3048/4581

Cheers,
Brent
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Re: A certain college has 8,978 full-time students, some of whom [#permalink]  29 Jun 2020, 23:30
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Re: A certain college has 8,978 full-time students, some of whom   [#permalink] 29 Jun 2020, 23:30
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