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A university admitted 100 students who transferred from othe

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A university admitted 100 students who transferred from othe [#permalink] New post 03 Jun 2014, 08:56
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A university admitted 100 students who transferred from other institutions. Of these students, 34 transferred from two-year community colleges, 25 transferred from private four-year institutions, and the rest transferred from public four-year institutions. If two different students are to be selected at random from the 100 students, what is the probability that both students selected will be students who transferred from two-year community colleges?

Give your answer as a fraction.

OA:
[Reveal] Spoiler:
17/150 (or any equivalent fraction).
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Re: A university admitted 100 students who transferred from othe [#permalink] New post 06 Aug 2014, 01:54
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No. of students transferred from 2-yr. community college = 34.
Probability of selecting 1st student , P(A) = 34/100 = 17/50.
Probability of selecting 2nd student, P(B) = (34-1)/(100-1) = 33/99 = 1/3.

Hence, the probability of selecting both the students from 2-yr. community college will be = P(A)P(B)
= (17/50)*(1/3)= 17/150
Re: A university admitted 100 students who transferred from othe   [#permalink] 06 Aug 2014, 01:54
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A university admitted 100 students who transferred from othe

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