Problem 1
Cubes: A number raised to the third power is a cube. Plot the first five cubic numbers, and then plot the first 5000 cubic numbers.
Problem 4
Modified Random Walks: In the class Randomwalk, x_step and Y_step are generated from the same set of conditions. The direction is chosen randomly from the list \([1,-1]\) and the distance from the list \([0,1,2,3,4]\). Modify the values in these lists to see what happens to the overall shape of your walks. Try a longer list of choices for the distance, such as 0 through 8 , or remove the \(-1\) from the \(x\) or \(y\) direction list.
Problem 6
Automatic Labels: Modify die.py and dice_visual.py by replacing the list we used to set the value of hist.x_labels with a loop to generate this list automatically. If you're comfortable with list comprehensions, try replacing the other for loops in die_visual.py and dice_visual.py with comprehensions as well.
Problem 7
Two D8s: Create a simulation showing what happens if you roll two eight-sided dice 1000 times. Increase the number of rolls gradually until you start to see the limits of your system's capabilities.
Problem 8
Three Dice: If you roll three D6 dice, the smallest number you can roll is 3 and the largest number is 18 . Create a visualization that shows what happens when you roll three D6 dice.
Problem 9
Multiplication: When you roll two dice, you usually add the two numbers together to get the result. Create a visualization that shows what happens if you multiply these numbers instead.
