A card drawing simulation with 100 trials

The average number of cards required to find 1 copy of the target card is 45.2.

Cards Drawn Games Sum
1 - 5 6 6
6 - 10 6 12
11 - 15 5 17
16 - 20 10 27
21 - 25 2 29
26 - 30 8 37
31 - 35 6 43
36 - 40 7 50
41 - 45 1 51
46 - 50 4 55
51 - 55 4 59
56 - 60 7 66
61 - 65 5 71
66 - 70 4 75
71 - 75 2 77
76 - 80 7 84
81 - 85 7 91
86 - 90 9 100
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