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Two relevant puzzles

Posted By: Bob Koca
Date: Sunday, 1 July 2018, at 8:07 p.m.

In Response To: a probabilities question (Boop)

This pair of puzzles shows a further complication. (Beyond the first roll being a double issue and also the one Stick pointed out to me of errors in recording such as 66 being recorded for a closed out player).

Puzzle 1: Suppose that you flip a fair coin in groups of 10 and record the results. If you choose a random set of 10 and then choose two tosses from those 10 what is the probability that you get a match?

Puzzle 2: Suppose that you flip a fair coin and make a game out of it. If the first two tosses are H's then you win. Otherwise there is a 3rd toss and if it is a H you win and if a T your opponent wins. This game is played many times. If you choose a game at random and then choose two tosses from it what is the probability you get a match?

Messages In This Thread

• a probabilities question
  Boop -- Sunday, 1 July 2018, at 11:36 a.m.
  • a probabilities question
    Mike Clapsadle -- Sunday, 1 July 2018, at 12:57 p.m.
    • a probabilities question
      Bob Koca -- Sunday, 1 July 2018, at 4:39 p.m.
  • a probabilities question
    bluedice -- Sunday, 1 July 2018, at 5:35 p.m.
    • a probabilities question
      Mike Clapsadle -- Sunday, 1 July 2018, at 5:55 p.m.
      • a probabilities question
        Mike Clapsadle -- Sunday, 1 July 2018, at 5:58 p.m.
    • a probabilities question - correction
      bluedice -- Sunday, 1 July 2018, at 6:39 p.m.
      • a probabilities question - correction
        Mike Clapsadle -- Sunday, 1 July 2018, at 7:23 p.m.
        • a probabilities question - correction
          bluedice -- Monday, 2 July 2018, at 7:43 a.m.
      • a probabilities question - correction
        Bob Koca -- Sunday, 1 July 2018, at 8:09 p.m.
        • a probabilities question - correction
          bluedice -- Monday, 2 July 2018, at 7:56 a.m.
          • a probabilities question - correction
            Boop -- Monday, 2 July 2018, at 9:46 a.m.
            • a probabilities question - correction
              Bob Koca -- Monday, 2 July 2018, at 1:44 p.m.
            • a probabilities question - correction
              Tom Keith -- Monday, 2 July 2018, at 2:40 p.m.
              • a probabilities question - correction
                Bob Koca -- Monday, 2 July 2018, at 3:05 p.m.
                • a probabilities question - correction
                  Tom Keith -- Monday, 2 July 2018, at 5:40 p.m.
          • a probabilities question - correction
            Bob Koca -- Monday, 2 July 2018, at 1:40 p.m.
  • Two relevant puzzles
    Bob Koca -- Sunday, 1 July 2018, at 8:07 p.m.
    • Two relevant puzzles
      Mike Clapsadle -- Sunday, 1 July 2018, at 8:45 p.m.
      • Two relevant puzzles
        Bob Koca -- Sunday, 1 July 2018, at 8:50 p.m.
        • Two relevant puzzles
          Mike Clapsadle -- Sunday, 1 July 2018, at 8:59 p.m.
    • Two relevant puzzles-Puzzle 2
      roadkillbooks -- Sunday, 1 July 2018, at 10:26 p.m.
      • Two relevant puzzles-Puzzle 2
        Tom Keith -- Sunday, 1 July 2018, at 10:47 p.m.
        • Two relevant puzzles-Puzzle 2
          Bob Koca -- Sunday, 1 July 2018, at 11:08 p.m.
        • Two relevant puzzles-Puzzle 2
          roadkillbooks -- Monday, 2 July 2018, at 5:23 p.m.
          • Two relevant puzzles-Puzzle 2
            Bob Koca -- Monday, 2 July 2018, at 6:56 p.m.