GETTING STARTED
If you are sharing or not using your own journal, Write your name at the top of the page
In your journal or at the top of your page, write the date and the title
Tower of Hanoi On-line
Hanoier is a Tower of Hanoi implementation in JavaScript using jQuery. Read more in the related blog post.
CARS AND GOATS
Date: __.__.__
Title: CARS AND GOATS
Each student takes a turn as a guest/player in an imaginary TV game show.
The TV host (teacher or student experimenter/scientist) shows each guest three doors
The guest/player is told that behind one of the doors there is a car.
Behind the other two doors, there are goats.
The guest/player must try to win the car. To win the car:
The TV host/experimenter asks the guest/player to choose a door.
After the guest/player makes a choice, the TV host/experimenter opens a different door, revealing a goat.
The TV host/experimenter then says something like “We're down to two pots now, and I'm going to give you the chance to change your mind”: To stay with the initial choice, or change their mind and switch to the remaining closed door.
THE PROBLEM
If you were the guest/player, do you think it makes any difference which door you choose?
If you played this game 30 times, how many times do you think a player would win a car?
Write down how many times you predict a player would win if they played 30 games and draw a circle around your prediction.
Write down your justifications/proof, so that you can share and explain it to other students.
Design an experiment that would test your prediction.
Perform your experiment and record the data (for example, in a table of results in your journal)
Do the experimental results (data) support your prediction?
REMEMBER
The game show host/experimenter knows in advance which of the three doors hides the car.
Whatever door the guest/player initially chooses, the host/experimenter knows which of the remaining doors to open to reveal a goat.
More certain still, the guest/player knows that the host/experimenter will certainly not open the door that hides the car.
A Reminder About How We Do An Experiment: