• 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

Hanoier is a Tower of Hanoi implementation in JavaScript using jQuery. Read more in the related blog post.

• https://github.com/stoyanr/Hanoier

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)

• Write down the number of games and draw a triangle around that number
• Write down the number of cars that were won in your experiment and draw a square around it.

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.