A card drawing simulation with 10000 trials

The average number of cards required to find 1 copy of the target card is 8.1.

Cards Drawn Games Sum
1 612 612
2 653 1265
3 649 1914
4 666 2580
5 695 3275
6 665 3940
7 631 4571
8 697 5268
9 659 5927
10 677 6604
11 691 7295
12 691 7986
13 689 8675
14 655 9330
15 670 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