A card drawing simulation with 10000 trials

The average number of cards required to find 1 copy of the target card is 7.9.

Cards Drawn Games Sum
1 668 668
2 696 1364
3 681 2045
4 703 2748
5 665 3413
6 641 4054
7 665 4719
8 650 5369
9 665 6034
10 703 6737
11 623 7360
12 625 7985
13 704 8689
14 694 9383
15 617 10000
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