1. if..else Use random numbers to compute an approximation of pi Simulation of a special game of darts Randomly place darts on the board pi can be computed by keeping track of the number of darts that land on the board

2. Dart Board

3. Monte Carlo Simulation montePi.py import random import math def montePi(numDarts): inCircle = 0 for i in range(0, numDarts): x = random.random() y = random.random() d = math.sqrt(x**2 + y**2) if d <= 1: inCircle = inCircle + 1 pi = inCircle/numDarts * 4 return pi

4. Complete Program import random import math import turtle def showMontePi(numDarts): wn = turtle.Screen() dartT = turtle.Turtle() wn.setworldcoordinates(-2,-2,2,2) dartT.up() dartT.goto(-1,0) dartT.down() dartT.goto(1,0) dartT.up() dartT.goto(0,1) dartT.down() dartT.goto(0,-1) circle = 0 dartT.up() for i in range(numDarts): x = random.random() y = random.random() d = math.sqrt(x**2 + y**2) dartT.goto(x,y) if d <= 1: circle = circle + 1 dartT.color("blue") else: dartT.color("red”) dartT.dot() pi = circle/numDarts * 4 wn.exitonclick() return pi montePi=showMontePi(100) print(montePi)

5. Figure 2.14

6. Lab_0923 def drawCoordinate(): def drawDotPi(): import turtle import math import random t = turtle.Turtle() wn = turtle.getscreen() drawCoordinate() montePi=drawDotPi() print(montePi) Re-write montePi.py with two functions drawCoordinate() to draw the initial coordinates drawDotPi() to draw dart simulation Email to 2015fall91.100@gmail.com