The triangle and the patterns
Plinko
--how does this affect literally everything around us?
with and without odds will be awesome (the machine)
what are the basic odds of probability -- heh
Homework
1) Glastonbury Mountain is just off to the east from here. There used to be a lot of people who lived there, but now it is mostly abandoned and part of the Bennington Triangle. Teenagers go up there, hang out and generally try to scare each other. But things are changing--people are moving in. Three families, in fact. They know each other well and are willing to share in some basic needs.
There are three houses. Call them A, B, and C.
These houses each need water coming from the well (W).
These houses each need electricity from the generator (G)
These houses each need propane from the shared Propane Tank (P)
You have plenty of piping for all of these different needs (W, G, and P), but there is one caveat:
because you are on rocky ground, you cannot bury the pipes.
In addition, none of the pipes can overlap, and each person needs their own pipes.
This means that there are three different pipes from the Well that cannot overlap. These pipes also cannot overlap the three separate pipes from Propane, or the generator.
This family is depending on YOU to design the system for their utility needs. Design it in the best fashion--you may place the six objects wherever you want and make the pipes as convoluted as needed.
If, for some reason, you are not capable of accomplishing this task, dig into the reasons why. Attempt to come up with a reason that you are unsuccessful. A good, rational, clear reason.
2) Design two games. One of them should have an Expected Value that is in favor of the house (the non-player). Another should have an Expected Value that is in favor of the player. These two should be presented in a way where it is difficult to tell the difference. If these games need any tokens, dice, cards, whatever, you should bring them to class for Thursday.
3) Choose one game of chance (there can be choices, but in the end it should be determined by something created by chance, otherwise we are entering a different territory here) from somewhere. Analyze it completely, finding a probability model as well as the expected value. Be prepared to discuss this game not just with your group but with me as well if I get to choose you.