The class was split into pairs, and one person from each team went to the board and wrote there name with a vertical line below it. in this order:
Sean Dominique Peter Keehln Otis Nick Brian Kyle Steven David David Joe Rachel Travis
Each of their partners went to the board and drew a horizontal line from any vertical line to any other vertical line, starting and ending with a dot on each vertical line. They then followed their partner's name down the line below it until they reached the dot at the beginning of one of the horizontal lines and followed it to the line it leads to and continued to do this until they got to the bottom of the line. At first not all names were in their correct spot. Prof. Hochberg explained:
Thm: 2 people can't land at the same spot
Corollary: Every spot must be occupied
Note: Paths are reversible- they can be traced in both ways
Once it was done correctly Prof Hochberg said this was the order in which each group will take notes, which will be done in ASCII. The order is as follows:
Brian Sean Steven David Otis Joe Peter Dominique David Travis Kyle Nick Rachel Keehln
After this Prof. Hochberg wrote the following questions:
Experiment
|
Event
|
| Toss 3 dice. |
Are they all different? |
| Draw 5 cards. |
Do you have a pair? |
| Toss 5 coins. |
Did you get less than or equal to 3 heads? |
| Toss 2 dice. |
Is the sum greater than 7? |
| Draw 3 cards. |
Are there no hearts? |
| Toss 6 coins. |
Will there be a run (string of coins having the same
outcome) of length greater than or equal to 3? |
| Draw cards till you get the same suit 3 times in a row. |
Will you need at least 10 cards? |
Prof. Hochberg said he was going to ask each pair to answer one of these questions and if they were right they would get 5 participation points. Whether they answered correctly or not, they would be making a presentation to the class about the probability of the question they were asked. If they did this they would get 15 participation points.