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Interesting Brainteaser

Posted By: Bob Koca
Date: Monday, 7 March 2016, at 9:53 p.m.

In Response To: Interesting Brainteaser (AP)

In case ii I have a number which is uniform on [B,1] and opponent has one uniform on [A,1]. I was supposing that B > A.

If the opponent's value is in the interval [A,B] then I win with probability 1. This occurs with probability (B-A)/(1-A).

If the opponent's value is in the interval [B,1] then I win with probability 1/2. That occurs with probability (1-B)/(1-A)

(B-A)/(1-A) + 0.5 (1-B)/(1-A) = (.5B -A +.5)/(1-A) = (B-2A+1)/2(1-A).

Messages In This Thread

• Interesting Brainteaser
  AP -- Monday, 7 March 2016, at 2:15 p.m.
  • Interesting Brainteaser
    Bob Koca -- Monday, 7 March 2016, at 5:46 p.m.
    • Interesting Brainteaser
      AP -- Monday, 7 March 2016, at 9:21 p.m.
      • Interesting Brainteaser
        Bob Koca -- Monday, 7 March 2016, at 9:53 p.m.
  • Interesting Brainteaser
    Igor -- Monday, 7 March 2016, at 11:08 p.m.