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Probability one play is best from RO of equal plays

Posted By: Bob Koca
Date: Friday, 24 November 2017, at 4:35 p.m.

In Response To: stronger RO gives expected result (362k trials) (Maik Stiebler)

Similarly suppose you are tossing two fair independent coins. If we let A = number of heads for 1rst coin and B = number of heads for 2nd coin then the random variable A - B is a random walk which has been proven to be 0 infinitely often with probability 1. Your statement about the 50% line being crossed infinitely is correct.

I don't know of the random variable on (0, 100%) result though. Do you have a source or proof for that? My intuition is that with probability 1 it converges to 50%.

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    • stronger RO gives expected result
      Bob Koca -- Thursday, 23 November 2017, at 3:35 p.m.
      • stronger RO gives expected result (362k trials)
        Nack Ballard -- Friday, 24 November 2017, at 1:30 a.m.
        • Another strange thing
          Bob Koca -- Friday, 24 November 2017, at 1:50 a.m.
        • stronger RO gives expected result (362k trials)
          Maik Stiebler -- Friday, 24 November 2017, at 11:14 a.m.
          • Probability one play is best from RO of equal plays
            Bob Koca -- Friday, 24 November 2017, at 4:35 p.m.
            • Probability one play is best from RO of equal plays
              Maik Stiebler -- Friday, 24 November 2017, at 5:04 p.m.
              • Oops
                Maik Stiebler -- Friday, 24 November 2017, at 5:28 p.m.
              • Probability one play is best from RO of equal plays
                Maik Stiebler -- Friday, 24 November 2017, at 6:19 p.m.
              • Probability one play is best from RO of equal plays
                Bob Koca -- Sunday, 26 November 2017, at 2:02 a.m.
      • stronger RO gives expected result
        Maik Stiebler -- Friday, 24 November 2017, at 10:43 a.m.
        • stronger RO gives expected result
          Bob Koca -- Friday, 24 November 2017, at 4:29 p.m.
          • stronger RO gives expected result
            Maik Stiebler -- Friday, 24 November 2017, at 7:15 p.m.