# 10-327/Classnotes for Thursday October 14

See some blackboard shots at BBS/10_327-101014-142707.jpg.

 Dror's notes above / Student's notes below

Here are some lecture notes..

## Riddles

### The Dice Game

Two players A and B decide to play a game. Player A takes 3 blank dice and labels them with the numbers 1-18. Player B then picks one of the three die. Then Player A picks one of the remaining two die. The players then roll their dice, and the highest number wins the round. They play 10,023 rounds. Who would you rather be Player A or B?

### Almost Disjoint Subsets

Find an uncountable collection of subsets of $\mathbb{N}$ such that any two subsets only contain a finite number of points in their intersection. Don't cheat by using the axiom of choice!

• I wasn't there for this riddle but it sounded interesting, though I might have the phrasing wrong - John.
• Feel free to cheat and use the axiom of choice - I don't see how it would help anyway. Drorbn 17:40, 18 October 2010 (EDT)

### Solutions

4 Solutions to problems in Munkre's book regard to Metrics and Metric topology. -Kai Xwbdsb 16:47, 28 October 2010 (EDT)