Results 1 to 3 of 3
Like Tree1Thanks
  • 1 Post By HallsofIvy

Thread: Sample Space of a Coin

  1. #1
    Senior Member
    Joined
    Mar 2012
    Posts
    438
    Thanks
    4

    Sample Space of a Coin

    (a) What is the sample space of tossing three coins?

    (b) A coin is tossed 3 times in a succession, and the total number of times heads comes up is noted. What is the sample space?

    Is the answer for those 2 questions the same?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    19,174
    Thanks
    2814

    Re: Sample Space of a Coin

    No, they are not because there are different things being "sampled".

    (a) What is the sample space of tossing three coins?
    Since each coin can come up "H"(heads) or "T"(tails) three coins can come up
    {"HHH", "HHT", "HTH", "HTT", "THH", "THT", "TTH", "TTT"}.
    That is the sample space.

    (b) A coin is tossed 3 times in a succession, and the total number of times heads comes up is noted. What is the sample space?
    Here the outcome of each trial is a number so the thing being "sampled" is a number. Since in flipping a coin there times, there may be "0", "1", "2", or "3" heads, the sample space is {0, 1, 2, 3}.
    Thanks from joshuaa
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member
    Joined
    Mar 2012
    Posts
    438
    Thanks
    4

    Re: Sample Space of a Coin

    Thanks a lot. it is clear.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. coin toss space, uncountable set
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: Nov 25th 2012, 01:02 PM
  2. Sample Space!
    Posted in the Statistics Forum
    Replies: 1
    Last Post: Oct 19th 2011, 04:39 AM
  3. Replies: 2
    Last Post: May 29th 2009, 09:32 AM
  4. Sample space
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: Oct 20th 2008, 04:02 AM
  5. Sample tossing coin question
    Posted in the Statistics Forum
    Replies: 1
    Last Post: May 19th 2008, 09:24 PM

Search Tags


/mathhelpforum @mathhelpforum