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CME12, 2012.07.04. – Rzeszów, Poland Gergely Wintsche Generalization through problem solving Gergely Wintsche Mathematics Teaching and Didactic Center Faculty of Science Eötvös Loránd University, Budapest
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Gergely Wintsche Outline 1. Back to the future 2. Experiments 3. Head runs 4. Ordering the probabilities Part III / 2 – Probability, experiments, statistic
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Gergely WintschePart III / 3 – Probability, experiments, statistic Back to the future Tomatoes
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Gergely WintschePart III / 4 – Probability, experiments, statistic Inheritance Tomatoes
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Gergely WintschePart III / 5 – Probability, experiments, statistic Experiments Die
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Gergely WintschePart III / 6 – Probability, experiments, statistic Experiments Die
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Gergely WintschePart III / 7 – Probability, experiments, statistic Head runs Head or Tails Click here to play movie
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Gergely WintschePart III / 8 – Probability, experiments, statistic Head runs Exactly k long head run 0123 n long series 111 2121 31421
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Gergely WintschePart III / 9 – Probability, experiments, statistic Head runs Exactly k long head run 0123456… n long series 111 2121 31421 417521 511211521 61202312521 …
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Gergely WintschePart III / 10 – Probability, experiments, statistic Head runs Head run Exactly k long head run 0123456… n long series 01 112 2134 31578 418131516 511324293132 61214456616364 …
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Gergely WintschePart III / 11 – Probability, experiments, statistic Head runs
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Gergely WintschePart III / 12 – Probability, experiments, statistic Head runs Exactly k long head run 0123456… n long series 01 112 2134 31578 418131516 511324293132 61214456616364 …
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Gergely WintschePart III / 13 – Probability, experiments, statistic Head runs n012345678… A n (3)1248152956108208
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Gergely WintschePart III / 14 – Probability, experiments, statistic Head runs Heads or tails THTTTHTTHH DDSSDDSDS
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Gergely WintschePart III / 15 – Probability, experiments, statistic Head runs Head or tails / average
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Gergely WintschePart III / 16 – Probability, experiments, statistic Head runs Which dice is better
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Gergely WintschePart III / 17 – Probability, experiments, statistic Head runs Which series are better
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Gergely WintschePart III / 18 – Probability, experiments, statistic Head runs Which series are better START HT HT 1/2
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Gergely WintschePart III / 19 – Probability, experiments, statistic Head runs Which series are better
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Gergely WintschePart III / 20 – Probability, experiments, statistic Head runs Which series are better START HT H T HH HTT HHT P1P1 P2P2 P3P3 P4P4 P i denotes that Andrew is here and win.
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Gergely WintschePart III / 21 – Probability, experiments, statistic Head runs Which series are better
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Gergely WintschePart III / 22 – Probability, experiments, statistic Head runs Which series are better START 7 12 29/36 1/36 6/36 29/36 12 7 1/36 6/36
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