A card drawing simulation with 100 trials

The average number of cards required to find 1 copy of the target card is 43.9.

Cards Drawn Games Sum
1 - 5 10 10
6 - 10 6 16
11 - 15 3 19
16 - 20 7 26
21 - 25 6 32
26 - 30 6 38
31 - 35 6 44
36 - 40 5 49
41 - 45 2 51
46 - 50 8 59
51 - 55 4 63
56 - 60 5 68
61 - 65 5 73
66 - 70 5 78
71 - 75 4 82
76 - 80 3 85
81 - 85 5 90
86 - 90 10 100
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