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  In a class of 30 students, there are 17 girls and 13 boys.
  
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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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  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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  3 There are n students in a class. Of them, k boys and k girls (includin 9 29 Jan 2015, 07:25
  1 In a class of 30 students, 17 students study Chinese, and r 4 09 Sep 2010, 06:52
  In a class of 30 students, there are 17 girls and 13 boys. 8 24 Oct 2008, 13:16
  In a class of 30 students, 17 students study Chinese, and r 8 18 Nov 2007, 21:13
  In a class of 30 students, 17 students study Chinese, and r 3 28 Oct 2007, 13:39
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  In a class of 30 students, there are 17 girls and 13 boys.
  
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explanation: The provided text is a problem statement for a probability question. It describes a class of 30 students, with 17 girls and 13 boys, and mentions that five students are A students, three of whom are girls. The question asks for the probability of choosing a girl or an A student at random.
  
  The solution provided in the text calculates the probability as follows:
  - There are 17 girls in total.
  - There are 2 boys who are A students (since 5 A students - 3 girls = 2 boys).
  - The probability of choosing a girl or an A student is the sum of the probability of choosing any girl and the probability of choosing a boy who is an A student.
  
  The final probability is calculated as:
  \[ P(\text{girl or A student}) = \frac{17}{30} + \frac{2}{30} = \frac{19}{30} \]
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Find all School-related info fast with the new School-Specific MBA Forum
  
   It is currently 03 May 2015, 22:44
  
  GMAT Club Daily Prep
  
  Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
  
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  we will pick new questions that match your level based on your Timer History
  
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  every week, we’ll send you an estimated GMAT score based on your performance
  
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  In a class of 30 students, there are 17 girls and 13 boys.
  
  Author Message
  TAGS:
  Director
  Joined: 05 Jan 2008
  Posts: 707
  Followers: 3
  
  Kudos [?]: 146 [0], given: 0
  
  In a class of 30 students, there are 17 girls and 13 boys. [#permalink]  28 Jun 2008, 00:06
  00:00
  
  Difficulty:
  
  (N/A)
  
  Question Stats:
  
  0% (00:00) correct 0% (00:00) wrong based on 0 sessions
  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?
  _________________
  
  Persistence+Patience+Persistence+Patience=G...O...A...L
  
  Director
  Joined: 12 Apr 2008
  Posts: 500
  Location: Eastern Europe
  Schools: Oxford
  Followers: 12
  
  Kudos [?]: 176 [0], given: 4
  
  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
  Joined: 27 May 2008
  Posts: 550
  Followers: 7
  
  Kudos [?]: 209 [0], given: 0
  
  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
  Similar topics Replies Last post
  Similar
  Topics:
  3 There are n students in a class. Of them, k boys and k girls (includin 9 29 Jan 2015, 07:25
  1 In a class of 30 students, 17 students study Chinese, and r 4 09 Sep 2010, 06:52
  In a class of 30 students, there are 17 girls and 13 boys. 8 24 Oct 2008, 13:16
  In a class of 30 students, 17 students study Chinese, and r 8 18 Nov 2007, 21:13
  In a class of 30 students, 17 students study Chinese, and r 3 28 Oct 2007, 13:39
  Display posts from previous: Sort by
  
  In a class of 30 students, there are 17 girls and 13 boys.
  
   Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The provided text is a problem statement for a probability question. It describes a class of 30 students, with 17 girls and 13 boys, and mentions that five students are A students, three of whom are girls. The question asks for the probability of choosing a girl or an A student at random.
  
  The solution provided in the text calculates the probability as follows:
  - There are 17 girls in total.
  - There are 2 boys who are A students (since 5 A students - 3 girls = 2 boys).
  - The probability of choosing a girl or an A student is the sum of the probability of choosing any girl and the probability of choosing a boy who is an A student.
  
  The final probability is calculated as:
  \[ P(\text{girl or A student}) = \frac{17}{30} + \frac{2}{30} = \frac{19}{30} \]
  
  Label: question-and-answer