CME12, 2012.07.04. – Rzeszów, Poland Gergely Wintsche Generalization through problem solving...
22
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 Part III.-IV. Probability through statistics
CME12, 2012.07.04. – Rzeszów, Poland Gergely Wintsche Generalization through problem solving Gergely Wintsche Mathematics Teaching and Didactic Center
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
Slide 2
Gergely Wintsche Outline 1. Back to the future 2. Experiments
3. Head runs 4. Ordering the probabilities Part III / 2
Probability, experiments, statistic
Slide 3
Gergely WintschePart III / 3 Probability, experiments,
statistic Back to the future Tomatoes
Slide 4
Gergely WintschePart III / 4 Probability, experiments,
statistic Inheritance Tomatoes
Slide 5
Gergely WintschePart III / 5 Probability, experiments,
statistic Experiments Die
Slide 6
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
Slide 8
Gergely WintschePart III / 8 Probability, experiments,
statistic Head runs Exactly k long head run 0123 n long series 111
2121 31421
Slide 9
Gergely WintschePart III / 9 Probability, experiments,
statistic Head runs Exactly k long head run 0123456 n long series
111 2121 31421 417521 511211521 61202312521
Slide 10
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
Slide 11
Gergely WintschePart III / 11 Probability, experiments,
statistic Head runs
Slide 12
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
Slide 13
Gergely WintschePart III / 13 Probability, experiments,
statistic Head runs n012345678 A n (3)1248152956108208
Slide 14
Gergely WintschePart III / 14 Probability, experiments,
statistic Head runs Heads or tails THTTTHTTHH DDSSDDSDS
Slide 15
Gergely WintschePart III / 15 Probability, experiments,
statistic Head runs Head or tails / average
Slide 16
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
Slide 18
Gergely WintschePart III / 18 Probability, experiments,
statistic Head runs Which series are better START HT HT 1/2
Slide 19
Gergely WintschePart III / 19 Probability, experiments,
statistic Head runs Which series are better
Slide 20
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.
Slide 21
Gergely WintschePart III / 21 Probability, experiments,
statistic Head runs Which series are better
Slide 22
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