A card drawing simulation with 100 trials
The average number of cards required to
find 1 copy of
the target card is 51.4.
Cards Drawn 
Games 
Sum 
1  5 
7 
7 
6  10 
2 
9 
11  15 
5 
14 
16  20 
4 
18 
21  25 
2 
20 
26  30 
2 
22 
31  35 
5 
27 
36  40 
6 
33 
41  45 
10 
43 
46  50 
2 
45 
51  55 
5 
50 
56  60 
6 
56 
61  65 
12 
68 
66  70 
4 
72 
71  75 
5 
77 
76  80 
5 
82 
81  85 
10 
92 
86  90 
8 
100 


Examples
I have 8 Information Highways in my 90 card deck; when
should I expect to draw at least 1?
Decksize = 90, Target = 8, Search = 0, Desired = 1
I have 12 Raptors and 6 Muricia's Call in my 90 card
deck; when should I expect to draw at least 7?
Decksize = 90, Target = 12, Search = 6, Desired = 7
I have 2 Anthelios and 1 Fortschritt Library in my 90
card deck; when should I expect to draw at least 1?
Decksize = 90, Target = 2, Search = 1, Desired = 1
I have 5 vampires with Dominate in my 12 card crypt;
when should I expect to draw at least 1?
Decksize = 12, Target = 5, Search = 0, Desired = 1