The Aam-Aadmi Party

This topic has 3 expert replies and 4 member replies
Aman verma Master | Next Rank: 500 Posts Default Avatar
Joined
27 Jan 2010
Posted:
304 messages
Followed by:
3 members
Thanked:
11 times

The Aam-Aadmi Party

Post Sat Nov 30, 2013 5:36 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Q:In the upcoming Delhi Elections only two major parties are fighting the elections-The Aam-Aadmi Party headed by Arvind kejriwal and The Aam-Aurat party headed by Dr. Sanjay HarshaVardan. 45% of the population support the Aam-Aadmi Party and 30% of the population support The Aam-Aurat Party and 20% of the population support both the parties. One citizen is selected at random from the population named Aman Verma. Find the probability that he supports the Aam-Admi party if it is known that he supports the Aam-Aurat Party. [Edited: Missing information inserted at the end of the third line]

    (A)1/3

    (B)2/3

    (C)5/6

    (D)4/7

    (E)5/9

    _________________
    800. Arjun's-Bird-Eye



    Last edited by Aman verma on Sat Nov 30, 2013 9:05 am; edited 1 time in total

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Sat Nov 30, 2013 8:09 am
    Aman verma wrote:
    Q:In the upcoming Delhi Elections only two major parties are fighting the elections-The Aam-Aadmi Party headed by Arvind kejriwal and The Aam-Aurat party headed by Dr. Sanjay HarshaVardan. 45% of the population support the Aam-Aadmi Party and 30% of the population support The Aam-Aurat Party. One citizen is selected at random from the population named Aman Verma. Find the probability that he supports the Aam-Admi party if it is known that he supports the Aam-Aurat Party.

    (A)1/3
    (B)2/3
    (C)5/6
    (D)4/7
    (E)5/9
    Hi Aman,

    As it stands, there is not enough information to answer this question.

    Cheers,
    Brent

    _________________
    Brent Hanneson – Founder of GMATPrepNow.com
    Use our video course along with Beat The GMAT's free 60-Day Study Guide

    Check out the online reviews of our course

    GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!
    Aman verma Master | Next Rank: 500 Posts Default Avatar
    Joined
    27 Jan 2010
    Posted:
    304 messages
    Followed by:
    3 members
    Thanked:
    11 times
    Post Sat Nov 30, 2013 9:09 am
    Brent@GMATPrepNow wrote:
    Hi Aman,

    As it stands, there is not enough information to answer this question.

    Cheers,
    Brent
    Hi Brent,

    Yes, there was an information missing at the end of the third line, which I have inserted in the original post.I was unable to highlight the missing part as I don't know how to do that. Regret the error.

    _________________
    800. Arjun's-Bird-Eye

    aalradadi Junior | Next Rank: 30 Posts Default Avatar
    Joined
    06 May 2013
    Posted:
    15 messages
    Post Sat Nov 30, 2013 9:48 am
    What was the answer? And did they wrote an explanation ?

    Post Sat Nov 30, 2013 10:03 am
    Aman verma wrote:
    Q:In the upcoming Delhi Elections only two major parties are fighting the elections-The Aam-Aadmi Party headed by Arvind kejriwal and The Aam-Aurat party headed by Dr. Sanjay HarshaVardan. 45% of the population support the Aam-Aadmi Party and 30% of the population support The Aam-Aurat Party and 20% of the population support both the parties. One citizen is selected at random from the population named Aman Verma. Find the probability that he supports the Aam-Admi party if it is known that he supports the Aam-Aurat Party.

    (A)1/3
    (B)2/3
    (C)5/6
    (D)4/7
    (E)5/9
    We can solve this question using the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it.
    Here, we have a population of voters, and the two characteristics are:
    - pro Aam-Aadmi or not pro Aam-Aadmi
    - pro Aam-Aurat or not pro Aam-Aurat

    To learn more about this technique, watch our free video: http://www.gmatprepnow.com/module/gmat-word-problems?id=919

    Since the question does not ask us to find specific numbers of voters, we can assign a "nice" value to the entire population. Let's say that there are 100 voters altogether.

    So, we can set up our diagram as follows:


    45% of the population support the Aam-Aadmi Party and 30% of the population support The Aam-Aurat Party
    We can add this information to our diagram.



    20% of the population support both the parties
    We'll add that information as well.


    At this point, we can determine the number of voters in each box.


    Find the probability that he supports the Aam-Aadmi party if it is known that he supports the Aam-Aurat Party.

    So, Aman verma is one of the 30 Aam-Aurat supporters.
    Of the 30 Aam-Aurat supporters, 20 also support Aam-Aadmi
    So, the required probability = 20/30 = 2/3 = B

    ---------------------------------------------

    Here are some additional practice questions that can be solved using the Double Matrix Method:
    - http://www.beatthegmat.com/mba/2011/05/05/random-double-matrix-question-1
    - http://www.beatthegmat.com/mba/2011/05/09/random-double-matrix-question-2
    - http://www.beatthegmat.com/mba/2011/05/16/random-double-matrix-question-3
    - http://www.beatthegmat.com/ds-quest-t187706.html
    - http://www.beatthegmat.com/overlapping-sets-questions-t183320.html
    - http://www.beatthegmat.com/finance-majors-non-finance-majors-overlapping-set-question-t167425.html
    - http://www.beatthegmat.com/ds-french-japanese-t222297.html
    - http://www.beatthegmat.com/sets-t269449.html#692540
    - http://www.beatthegmat.com/in-costume-for-halloween-t269355.html#692116

    Cheers,
    Brent

    _________________
    Brent Hanneson – Founder of GMATPrepNow.com
    Use our video course along with Beat The GMAT's free 60-Day Study Guide

    Check out the online reviews of our course



    Last edited by Brent@GMATPrepNow on Sat Nov 30, 2013 11:50 am; edited 1 time in total

    GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!
    Aman verma Master | Next Rank: 500 Posts Default Avatar
    Joined
    27 Jan 2010
    Posted:
    304 messages
    Followed by:
    3 members
    Thanked:
    11 times
    Post Sat Nov 30, 2013 11:15 am
    OA(B)2/3.

    Good Night!

    _________________
    800. Arjun's-Bird-Eye

    Post Sat Nov 30, 2013 11:52 am
    Ha - after all of that work, I didn't interpret my own diagram correctly Smile
    I edited the last sentence accordingly.

    Cheers,
    Brent

    _________________
    Brent Hanneson – Founder of GMATPrepNow.com
    Use our video course along with Beat The GMAT's free 60-Day Study Guide

    Check out the online reviews of our course

    GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!
    telberrak Newbie | Next Rank: 10 Posts Default Avatar
    Joined
    19 Apr 2011
    Posted:
    7 messages
    Thanked:
    1 times
    Test Date:
    ASAP
    Target GMAT Score:
    760
    Post Fri May 16, 2014 1:27 am
    Event A : pro Aam-Aadmi
    Event B : pro Aam-Aurat

    pick up a pro Aam-Aadmi knowing he's a pro Aam-Aurat is P(A|B)

    Probability of A knowing B (non-independent events) is P(A|B) = P(A and B)/P(B)
    P(A and B) = 20%
    P(B) = 30%

    ==> P(A|B) = 20%/30% = 2/3

    Best Conversation Starters

    1 AbeNeedsAnswers 126 topics
    2 jjjinapinch 82 topics
    3 richachampion 13 topics
    4 lionsshare 11 topics
    5 Mo2men 10 topics
    See More Top Beat The GMAT Members...

    Most Active Experts

    1 image description Rich.C@EMPOWERgma...

    EMPOWERgmat

    118 posts
    2 image description Matt@VeritasPrep

    Veritas Prep

    99 posts
    3 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

    95 posts
    4 image description DavidG@VeritasPrep

    Veritas Prep

    79 posts
    5 image description GMATGuruNY

    The Princeton Review Teacher

    68 posts
    See More Top Beat The GMAT Experts