Facebook Page
Twitter
RSS
+ Reply to Thread
Results 1 to 6 of 6
  1. MHB Craftsman

    Status
    Offline
    Join Date
    Jul 2016
    Posts
    341
    Thanks
    460 times
    Thanked
    168 times
    Trophies
    7 Highscores
    Awards
    MHB Model User Award (2016)
    #1


    Having trouble in drawing the sample space in the grid

  2. MHB Seeker
    MHB Global Moderator
    MHB Math Scholar
    I like Serena's Avatar
    Status
    Offline
    Join Date
    Mar 2012
    Location
    Netherlands
    Posts
    6,029
    Thanks
    4,066 times
    Thanked
    11,384 times
    Thank/Post
    1.888
    Awards
    MHB Model Helper Award (2016)  

MHB Best Ideas (2016)  

MHB LaTeX Award (2016)  

MHB Calculus Award (2014)  

MHB Discrete Mathematics Award (Jul-Dec 2013)
    #2
    Quote Originally Posted by mathlearn View Post
    Having trouble in drawing the sample space in the grid
    Hey mathlearn!

    Each intersection of dotted lines corresponds with a set of possible 2 bangles.
    If they are the same color, the outcome is that the girl wears them - let's abbreviate that with 'w'.
    If they are of different colors, the outcome is that the girl does not wear them - abbreviated 'n'.

    Put the letters 'w' and 'n' at the intersections and presto!
    We have our sample space representing all possible outcomes.

  3. MHB Craftsman

    Status
    Offline
    Join Date
    Jul 2016
    Posts
    341
    Thanks
    460 times
    Thanked
    168 times
    Trophies
    7 Highscores
    Awards
    MHB Model User Award (2016)
    #3 Thread Author
    Quote Originally Posted by I like Serena View Post
    Hey mathlearn!

    Each intersection of dotted lines corresponds with a set of possible 2 bangles.
    If they are the same color, the outcome is that the girl wears them - let's abbreviate that with 'w'.
    If they are of different colors, the outcome is that the girl does not wear them - abbreviated 'n'.

    Put the letters 'w' and 'n' at the intersections and presto!
    We have our sample space representing all possible outcomes.
    Hey ILS

    I updated the sample space grid



    Correct ?

  4. MHB Seeker
    MHB Global Moderator
    MHB Math Scholar
    I like Serena's Avatar
    Status
    Offline
    Join Date
    Mar 2012
    Location
    Netherlands
    Posts
    6,029
    Thanks
    4,066 times
    Thanked
    11,384 times
    Thank/Post
    1.888
    Awards
    MHB Model Helper Award (2016)  

MHB Best Ideas (2016)  

MHB LaTeX Award (2016)  

MHB Calculus Award (2014)  

MHB Discrete Mathematics Award (Jul-Dec 2013)
    #4
    Quote Originally Posted by mathlearn View Post
    Hey ILS

    I updated the sample space grid

    Correct ?
    Yep.

  5. MHB Journeyman
    MHB Math Helper

    Status
    Offline
    Join Date
    Jan 2012
    Posts
    611
    Thanks
    225 times
    Thanked
    717 times
    Thank/Post
    1.173
    #5
    Not quite. Remember that she does not return the first bangle to the drawer before she draws the second! Because of that, (W1, W1), (W2, W2), (W3, W3), (B1, B1), and (B2, B2) are not in the sample space. Those points should not be marked at all. Instead of having 5*5= 25 points in the sample space there are 25- 5= 20 (the -5 from the diagonal points that are removed). Instead of 3^2+ 2^2= 9+ 4= 13 "W"s there are 13- 5= 8 "W"s.

  6. MHB Craftsman

    Status
    Offline
    Join Date
    Feb 2012
    Location
    Lexington, MA, USA
    Posts
    409
    Thanks
    167 times
    Thanked
    1,388 time
    Thank/Post
    3.394
    Awards
    MHB Chat Room Award (2014)  

MHB Chat Room Award (Jul-Dec 2013)  

MHB Humor Award (Jan-June 2013)
    #6
    Quote Originally Posted by mathlearn View Post
    Having trouble in drawing the sample space in the grid
    The grid is misleading.
    The earrings are drawn without replacement,
    There are $ \displaystyle 5\cdot4 = 20$ outcomes, not 25.

    $ \displaystyle \begin{array}{cccc}W_1W_2 & W_1W_3 & W_1B_1 & W_1B_2 \\
    W_2W_1 & W_2W_3 & W_2B_1 & W_2B_2 \\
    W_3W_1 & W_3W_2 & W_3B_1 & W_3B_2 \\
    B_1W_1 & B_1W_2 & B_1W_3 & B_1B_2 \\
    B_2W_1 & B_2W_2 & B_2W_3 & B_2B_1
    \end{array}$
    .

Similar Threads

  1. How to find a non-zero vector in the column space of M
    By shamieh in forum Linear and Abstract Algebra
    Replies: 1
    Last Post: July 8th, 2016, 02:33
  2. Probabilty question.
    By oriel in forum Basic Probability and Statistics
    Replies: 3
    Last Post: May 5th, 2016, 18:07
  3. Dice Probabilty Problem
    By pretzel1998 in forum Basic Probability and Statistics
    Replies: 1
    Last Post: January 4th, 2015, 13:51
  4. [SOLVED] Venn diagram shows a sample space U and events A and B
    By karush in forum Basic Probability and Statistics
    Replies: 3
    Last Post: August 13th, 2013, 23:14
  5. Row Space, Column Space and Null Space
    By Swati in forum Linear and Abstract Algebra
    Replies: 1
    Last Post: November 2nd, 2012, 11:25

Tags for this Thread

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •  
Math Help Boards