Results 1 to 6 of 6
Like Tree2Thanks
  • 1 Post By ChessTal
  • 1 Post By ChessTal

Math Help - outcome of coin flipped by machine random?

  1. #1
    Senior Member
    Joined
    Oct 2009
    Posts
    295
    Thanks
    9

    outcome of coin flipped by machine random?

    Is the outcome of a fair coin flipped by a machine that is able to repeatedly flip a coin in an identical manner random?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Jan 2010
    Posts
    52
    Thanks
    17

    Re: outcome of coin flipped by machine random?

    Quote Originally Posted by downthesun01 View Post
    Is the outcome of a fair coin flipped by a machine that is able to repeatedly flip a coin in an identical manner random?
    Well when we say we have a fair coin then we don't only imply that the coin is fair because it has no bias to land on one side over the other, but we imply it is flipped with the same fairness so it remains random.
    So normally your answer is yes.
    But if for example the machine does not flip it randomly and gives a bias into one side then obviously the answer is no.
    Thanks from HallsofIvy
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Jun 2009
    Posts
    661
    Thanks
    133

    Re: outcome of coin flipped by machine random?

    My vote is for no.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Oct 2012
    From
    Ireland
    Posts
    607
    Thanks
    168

    Re: outcome of coin flipped by machine random?

    If the machine flips the coin with identical flips each time then it will depend which side up you place the coin on the machine. So it is not at all random, in fact you could control it.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,415
    Thanks
    1853

    Re: outcome of coin flipped by machine random?

    Quote Originally Posted by ChessTal View Post
    Well when we say we have a fair coin then we don't only imply that the coin is fair because it has no bias to land on one side over the other, but we imply it is flipped with the same fairness so it remains random.
    So normally your answer is yes.
    But if for example the machine does not flip it randomly and gives a bias into one side then obviously the answer is no.
    But essentially you are saying "if the machine flips it randomly, then it is random, otherwise not"!
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Junior Member
    Joined
    Jan 2010
    Posts
    52
    Thanks
    17

    Re: outcome of coin flipped by machine random?

    Quote Originally Posted by HallsofIvy View Post
    But essentially you are saying "if the machine flips it randomly, then it is random, otherwise not"!
    Yes.
    Because i see a coin flipping machine as a procedure of flipping a coin and not as a mechanical thing.

    Of course if we have to start worrying about how the machine will flip the coin then we go to chaotic dynamics, sensitivity on the initial conditions etc, but since we speak about mathematics identical(in the "flipping the coin in an identical manner" context) means 100% identical, so we have a deterministic procedure, so if we place each time the coin in exactly the same way all the times, on the machine, then obviously we would get the same side each time.
    If we don't place it exactly the same on the machine, then we have to analyze how the way we place it affects the outcome, so there are multiple/countless cases to think about this.
    Thanks from Shakarri
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Outcome table
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: April 7th 2013, 03:30 PM
  2. Which outcome occurs first?
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: November 2nd 2010, 09:32 PM
  3. Probability outcome
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: October 28th 2009, 12:45 PM
  4. Replies: 3
    Last Post: June 6th 2009, 01:05 PM
  5. Why does > have to be flipped?
    Posted in the Algebra Forum
    Replies: 4
    Last Post: April 5th 2006, 02:45 AM

Search Tags


/mathhelpforum @mathhelpforum