February 28, 2006

From MathWiki

  • I showed a scene from the Colbert Report (http://www.comedycentral.com/shows/the_colbert_report/index.jhtml). Under videos (http://www.comedycentral.com/shows/the_colbert_report/videos/most_recent/index.jhtml), look for 'Nerd Patrol.' A quadratic equation is a polynomial like x2 + 3x + 2 = 0. I showed you that it was possible to write down the solution to any equation of the form ax2 + bx + c = 0. Ready Steven?
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2 a}
  • Abshir did a report on Poker and how to calculate how good your hand is. We did a detailed example in class.

Say that your hand was A\spadesuit and A\heartsuit and the following 5 cards were showing: J\spadesuit 9\spadesuit 5\heartsuit 2\spadesuit 5\clubsuit

To determine if your hand is good you should try to count the number of hands which are better than yours. You have an A-5 two of a kind. Which hands are better? Lets list them.

  • 4-kind - two 5s
  • Full house - two Js, 2s or 9s, also a 5-J, 5-2, or 5-9
  • Flush - Any two spades
  • 3-kind - by getting a 5 and some other card (not a J,9 or 2 and not two spades)
Possible Hands that beat A-5 2-of-a-kind
4-of-a-kind two 5's 1
Full house JJ, 22 or 99 of \heartsuit\clubsuit,\heartsuit\diamondsuit or \diamondsuit\clubsuit or 5(of \diamondsuitor \clubsuit) and any J,2,9 27
Flush any two spades (there are 13-4=9 left in the deck) \left({9 \atop 2}\right)=36
3-of-a-kind 5\diamondsuit and 3,4,6,7,8,10,Q,K (any suit) A of\diamondsuit\clubsuit OR 5\diamondsuit and 3,4,6,7,8,10,Q,K (\diamondsuit\clubsuitor\heartsuit), A of\diamondsuit\clubsuit 60
  • And if that wasn't enough math for you when it comes to poker, I played for you the radio program on 'Game Theory' by Simon Singe (http://www.bbc.co.uk/radio4/science/another5.shtml) from the BBC.
  • Due in two weeks, the following two homework problems. We will talk about them next week:
    • cube painting
    • milk cartons

Previous class : February 21, 2006

Next class : March 7, 2006

Main class page : Mathematics 1590 Nature of Mathematics II