A card drawing simulation with 10000 trials

The average number of cards required to find 1 copy of the target card is 8.

Cards Drawn Games Sum
1 671 671
2 692 1363
3 701 2064
4 679 2743
5 640 3383
6 638 4021
7 691 4712
8 638 5350
9 659 6009
10 708 6717
11 667 7384
12 673 8057
13 640 8697
14 614 9311
15 689 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