Results 1 to 4 of 4

Math Help - A difficult problem, help please!

  1. #1
    Newbie
    Joined
    May 2008
    Posts
    13

    A difficult problem, help please!

    Hi,

    I'm struggling with a difficult problem, so I asking for your help.

    This is it: A football fan wants to collect a set of 132 trading cards. Therefore he buys 2 packs/day with 1 card/pack. The chance is uniform, p=1/132. How many days does it take to collect the full set?

    Normally, i have to use the program R to deal with this problem, but if you don't know how to begin, it's hard to program it. (comma is for decimal separation)

    This is what i think i should do:
    Give the cards a number from x=0 to x=131.
    Then I calculate how many packs on average i need to buy. Thus y= 132/(132-x)

    Then i sum up the result for each card x --> Σ(132/(132-x)) = 721,2217
    This should then be divided by 2 packs per day, thus 360,6108 days.

    Now i'm stuck because these results doesn't seem realistic to me. Is this calculation correct or is it wrong?

    I've read the "coupon collector problem" on wiki, but i don't quite understand the explanation of it.

    Could you help me, please?
    Last edited by Leslon; November 7th 2008 at 02:25 AM. Reason: Completion
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Mar 2008
    Posts
    934
    Thanks
    33
    Awards
    1
    Quote Originally Posted by Leslon View Post
    Hi,

    I'm struggling with a difficult problem, so I asking for your help.

    This is it: A football fan wants to collect a set of 132 trading cards. Therefore he buys 2 packs/day with 1 card/pack. The chance is uniform, p=1/132. How many days does it take to collect the full set?

    Normally, i have to use the program R to deal with this problem, but if you don't know how to begin, it's hard to program it.

    This is what i think i should do:
    Give the cards a number from 0 to 131.
    Then I calculate how
    Hi Leslon,

    This is the classic "coupon collector's problem". You can find an analysis here: Coupon collector's problem - Wikipedia, the free encyclopedia
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    May 2008
    Posts
    13
    Thank you for giving me the link to wiki. But i don't quite understand it yet. I completed my earlier post with a calculation i made. Could you tell me i'm right or wrong?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Mar 2008
    Posts
    934
    Thanks
    33
    Awards
    1
    Hi Leson,

    Your result of 360.6 days agrees with the formula in the Wikipedia article.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. difficult problem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: November 30th 2010, 03:41 AM
  2. Difficult problem
    Posted in the Discrete Math Forum
    Replies: 4
    Last Post: May 10th 2010, 06:23 PM
  3. a difficult problem
    Posted in the Number Theory Forum
    Replies: 13
    Last Post: June 24th 2009, 02:25 PM
  4. Difficult problem
    Posted in the Advanced Statistics Forum
    Replies: 6
    Last Post: November 10th 2008, 10:50 PM
  5. A very difficult problem for me
    Posted in the Calculus Forum
    Replies: 3
    Last Post: October 20th 2008, 08:51 AM

Search Tags


/mathhelpforum @mathhelpforum