80-110: The Nature of Mathematical Reasoning- Spring 1998
Assignment (Due Thursday, Feb. 12)
Problem: Get onto the Web, and visit the following site
for Lets Make a Deal:
http://www.stat.sc.edu/~west/javahtml/LetsMakeaDeal.html
Play the game a few times to get the hang of it. Now do the following
2 experiments, record the results in the following table, and
turn in this sheet to Andrew Banas.
Your Name ___________________________
| Shown 2 Empty
| Shown 3 Empty | Overall
|
Switched | 1a)
| 1b) | 1c) |
Stayed | 2a)
| 2b) | 2c) |
1) Play 20 times. Always choose Door #1 as your first choice.
When you are shown an empty door (it has a Donkey), switch
for your second choice.
- In cell 1a in the table- record how often you won when you
were shown door 2 empty, i.e., record two numbers: #wins when
shown 2 empty / # times shown 2 empty.
- In cell 1b in the table- record how often you won when you
were shown door 3 empty, i.e., record 2 numbers: #wins when shown
3 empty / # times shown 3 empty.
- record how often you won overall when you switched - the applet
does this for you - put the answer in cell 1c.
2) Play 20 times. Always choose Door #1 as your first choice.
When you are shown an empty door (it has a Donkey), stay
with door 1 as your second choice.
- In cell 1a in the table- record how often you won when you
were shown door 2 empty, i.e., record 2 numbers: #wins when shown
2 empty / # times shown 2 empty.
- In cell 1b in the table- record how often you won when you
were shown door 3 empty, i.e., record 2 numbers: #wins when shown
3 empty / # times shown 3 empty.
- record how often you won overall when you switched - the applet
does this for you - put the answer in cell 1c.