A card drawing simulation with 100 trials

The average number of cards required to find 1 copy of the target card is 42.7.

Cards Drawn Games Sum
1 - 5 7 7
6 - 10 5 12
11 - 15 9 21
16 - 20 8 29
21 - 25 5 34
26 - 30 5 39
31 - 35 4 43
36 - 40 4 47
41 - 45 6 53
46 - 50 4 57
51 - 55 10 67
56 - 60 6 73
61 - 65 6 79
66 - 70 1 80
71 - 75 4 84
76 - 80 6 90
81 - 85 6 96
86 - 90 4 100
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