CME12, 2012.07.04. Rzeszw, Poland Gergely Wintsche
Generalization through problem solving Gergely Wintsche Mathematics
Teaching and Didactic Center Faculty of Science Etvs Lornd
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
Slide 7
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
Slide 17
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