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# In a class of 30 students, there are 17 girls and 13 boys.

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Director
Joined: 05 Jan 2008
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In a class of 30 students, there are 17 girls and 13 boys. [#permalink]  28 Jun 2008, 00:06
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In a class of 30 students, there are 17 girls and 13 boys. Five are A students, and three of these students are girls. If a student is chosen at random, what is the probability of choosing a girl or an A student?
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Director
Joined: 12 Apr 2008
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Location: Eastern Europe
Schools: Oxford
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Re: PS: Probability [#permalink]  28 Jun 2008, 03:36
Quote:
In a class of 30 students, there are 17 girls and 13 boys. Five are A students, and three of these students are girls. If a student is chosen at random, what is the probability of choosing a girl or an A student?

I got 19/30:

If three of A students are girls => 2 are boys.
P = P(choose any girl) + P(choose boy who is A) = 17/30 + 2/30 = 19/30.
Director
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Re: PS: Probability [#permalink]  28 Jun 2008, 03:48
G : set of all girls = 17
A : set of all A students = 5
GiA : G intersection A = 3
GUA : G union A

P(GUA) = P(G) + P(A) - P(GiA)
= 17/30 + 5/30 - 3/30
=19/30
Re: PS: Probability   [#permalink] 28 Jun 2008, 03:48
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