Results 1 to 6 of 6

Math Help - Coin tossing problem.

  1. #1
    Newbie
    Joined
    Sep 2011
    Posts
    10

    Question Coin tossing problem.

    Q.Four coins are tossed simatanously, in how many distinct ways these coins can show up??

    I think it is going to be 16..
    Do u guys agree with me???
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4

    Re: Coin tossing problem.

    Quote Originally Posted by nasir31971 View Post
    Q.Four coins are tossed simatanously, in how many distinct ways these coins can show up??

    I think it is going to be 16..
    Do u guys agree with me???
    Are they indistinguishable?

    If they are distinguishable then there are 2^4 ways they can fall, if indistinguishable there are 4 ways the can fall.

    CB
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5

    Re: Coin tossing problem.

    assuming you mean heads and tails
    it is 2^4
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Sep 2011
    Posts
    10

    Re: Coin tossing problem.

    Thanks.....i also go with 2^4
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,686
    Thanks
    617

    Re: Coin tossing problem.

    Hello, nasir31971!

    Four coins are tossed simultanously.
    In how many distinct ways these coins can show up?

    I think it is going to be 16.
    Do u guys agree with me?

    CaptainBlack raised a legitimate point.

    If the four coins are distinct -- say, a penny, nickel, dime, and a quarter --
    . . then there are: . 2^4 = 16 outcomes.

    If the four coins are identical, we may be counting the Heads and Tails only.
    In this case, there are only 5 outcomes:
    . . All Heads
    . . 3 Heads, 1 Tail
    . . 2 Heads, 2 Tails
    . . 1 Head, 3 Tails
    . . All Tails

    Follow Math Help Forum on Facebook and Google+

  6. #6
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4

    Re: Coin tossing problem.

    Quote Originally Posted by nasir31971 View Post
    Thanks.....i also go with 2^4
    While there is some ambiguity in the wording I think the clause that says they were tossed simultaneously implies that they are indistinguishable and so the answer is 4.

    Note the outcomes in this case are not equally likely (while in the other case they are)

    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Coin tossing problem I have trouble understanding
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: December 28th 2011, 10:09 AM
  2. coin tossing
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: November 22nd 2010, 08:55 AM
  3. Replies: 2
    Last Post: July 7th 2010, 11:54 PM
  4. Tossing coin problem
    Posted in the Statistics Forum
    Replies: 14
    Last Post: June 5th 2010, 02:54 AM
  5. coin tossing
    Posted in the Statistics Forum
    Replies: 8
    Last Post: January 30th 2010, 02:08 PM

Search Tags


/mathhelpforum @mathhelpforum