'''
Created on Jul 10, 2014

@author: Brett Paufler
Copyright Brett Paufler
'''

#gameNumber 1109 analysis
#Ticket Price: $1 | Overall odds: 1 in 4.73 | Cash odds: 1 in 8.99 | Game Number: 1109 
'''
Odds and Available Prizes
Prizes     Odds 1 in     Total # of Winners     Prizes Claimed     Prizes Available
$888    480,000    98    81    17
$100    9,600    4,900    4,409    491
$40    1,395    33,712    30,158    3,554
$20    417    112,896    100,907    11,989
$10    96    489,216    434,405    54,811
$8    78    602,112    533,498    68,614
$4    42    1,128,960    989,235    139,725
$2    16    2,860,032    2,470,629    389,403
Ticket    10    4,704,000    4,003,666    700,334
'''

odds = [480000, 9600, 1395, 417, 96, 78,  42, 16, 10]
number = [98, 4900, 33712, 112896, 489216, 602112, 1128960, 2860032, 4704000]

#gS = implied gameSize
rC = 0.00
for i in range(len(odds)):
    iGS = odds[i] * number[i] #impliedGameSize
    cT = 1.00 / odds[i] #chanceThis
    rC += cT    #rollingChance
    print "ODDS: %d \t N: %d \t gS: %d chance: %.15f \t rolling %.15f" %(odds[i], number[i], iGS, cT, rC)

print "\nCumulative Chance %.15f = finalOdds 1 in %f\n\n" % (rC, 1.00 / rC)


#assumedGameSize
aGS = 47040000.00
#totalNumberAvailable


rC = 0.0
for n in number:
    #print n
    c = n / aGS
    #print c
    rC += c
    #print thisOne
    print "\t\t\t\t\t chance %.15f \t rolling %.15f" % (c, rC)
print "\nCumulative Chance %.15f = Cumulative Odds 1 in %f\n\n" % (rC, 1.00/rC)

#print 0.1 / 0.9