problem0():
  How many ways to get a football score of n?
  Order counts.

  Score  Ways

0 1
1 0
2 1
3 1
4 1
5 2
6 3
7 4
8 7
9 9
10 14
11 20
12 29
13 43
14 63

problem1():
  3D surface plot.
Graphics saved as "sombrero.png"

problem2():
  Estimate area of polygon by sampling.
  Polygon area estimate is  6.84
  Exact area is 6.

problem3()
  Three flies form a triangle on a circular plate
  of radius 1.
  What is the average area of this triangle?
  Average triangle area is  0.22210911602862995

problem4():
  Estimate average length of odd-man-out with 7 players
  Assuming  7 players, the average number of flips is  9.385

problem5():
  A modified duel.  First round one shot, second two, etc.
  Player 0 winning probability is  0.502
  Player 1 winning probability is  0.498

problem6():
  Plot of SIR system.
  Graphics saved as "sir.png"

problem7():
  Wolf vaccination, catch 2 every night
  Average days to catch every wolf is  923.76

problem8():
  Number of 2d random walk steps to reach 10 distance.
  Average number of steps to get 10 units from origin
   108.37

problem9():
  Draw a Minion, using colored squares.
  Graphics saved as "minion.png"