A card drawing simulation with 100 trials

The average number of cards required to find 1 copy of the target card is 46.9.

Cards Drawn Games Sum
1 - 5 8 8
6 - 10 3 11
11 - 15 5 16
16 - 20 8 24
21 - 25 4 28
26 - 30 5 33
31 - 35 5 38
36 - 40 4 42
41 - 45 2 44
46 - 50 7 51
51 - 55 5 56
56 - 60 7 63
61 - 65 4 67
66 - 70 6 73
71 - 75 10 83
76 - 80 5 88
81 - 85 10 98
86 - 90 2 100
Number of cards in deck:
Number of target cards:
Number of search cards:
Desired number of copies 
of the target card:
Number of trials:
Number of lines to print together:

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