#------------------------------------------------------------------
#	birthday.py	
#	
#	This program shows the probabilities that among  N  people
#	selected at random, no two of them have the same birthday.
#	
#		execute using:  $ python ./birthday.py
#	
#	programmer: ALLAN CRUSE
#	written on: 09 MAR 2011
#------------------------------------------------------------------

print 
print "    Probabilities for the classic Birthday Problem "
print
print " In a randomly selected group of  N  people, what is"
print " the probability that no two have the same birthday?" 
print

probability = 1.0
for n in range( 30 ):
	probability *= (365.0 - n) / 365.0
	print "\t N = %-2d\t  probability = %1.3f " % (n+1, probability)
print