#!/usr/bin/env python 
#--------------------------------------------------------------------
# 	lawlarge.py
#
# 	This program will illustrate the LAW OF LARGE NUMBERS using
#	a computer simulation that repeatedly tosses a 'fair' coin.
#
#		execute using:  $ python lawlarge.py
#
# 	programmer: ALLAN CRUSE
# 	written on: 12 JAN 2011
#--------------------------------------------------------------------

import random

print "\n\n %9s " % " ", 
print "Tossing a coin to illustrate the Law of Large Numbers"
print

for demo in range(3):
	heads = 0
	tails = 0
	tosses = 0

	for rep in range(100000):
		x = random.randint(0, 1)
		if ( x > 0 ):
			heads += 1
		else:
			tails += 1
		tosses += 1;
	
		if tosses in [10, 100, 1000, 10000, 100000]:
			proportion = (1.0*heads) / tosses
			print " After %d tosses:\t" % tosses, 
			print "%6d heads" % heads,
			print "%6d tails" % tails,
			print "  proportion of heads=%0.2f" % proportion
	print
print