If sticker collectors pool their acquisitions, how much quicker do they finish their collections (and more cheaply)?

output.txt

Album has 638 stickers
50 trials for each pool size
Collectors      Waste           Waste per collector
1               4054.360000     4054.360000
2               4748.840000     2374.420000
3               5328.000000     1776.000000
4               5586.160000     1396.540000
5               6429.320000     1285.864000
6               6675.840000     1112.640000
7               7084.840000     1012.120000
8               7562.240000     945.280000
9               7915.680000     879.520000
10              8062.480000     806.248000
11              8306.360000     755.123636
12              8833.440000     736.120000
13              9035.560000     695.043077
14              9267.680000     661.977143
15              9472.320000     631.488000
16              9770.920000     610.682500
17              10126.520000    595.677647
18              10243.560000    569.086667
19              10334.920000    543.943158
20              10861.760000    543.088000
Waste is the number of excess stickers

stickers.py

import random

class Collection:
	def __init__(self,num_stickers):
		self.num_stickers = num_stickers
	
	def pack(self):
		return [random.randrange(self.num_stickers) for i in range(6)]

class Album:
	def __init__(self,collection):
		self.collection = collection
		self.got = [False]*self.collection.num_stickers

	def finished(self):
		return False not in self.got

def collect(collection,num_albums):
	albums = [Album(collection) for i in range(num_albums)]
	doubles = []
	done = False
	while sum(album.finished() for album in albums)<num_albums:
		pack = collection.pack()
		for sticker in pack:
			double = True
			for album in albums:
				if not album.got[sticker]:
					album.got[sticker] = True
					double = False
					break
			if double:
				doubles.append(sticker)

	return len(doubles)/len(albums)

if __name__ == '__main__':
	num_stickers = 638
	num_trials = 50
	collection = Collection(num_stickers)
	print("Album has %i stickers" % num_stickers)
	print("%i trials for each pool size" % num_trials)
	print('Collectors\tWaste\t\tWaste per collector')
	for i in range(1,21):
		mean = sum(collect(collection,i) for j in range(num_trials))/num_trials
		print('%i\t\t%f\t%f' %(i,mean*i,mean))

	print("Waste is the number of excess stickers")