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
1 646 646
2 653 1299
3 605 1904
4 675 2579
5 693 3272
6 651 3923
7 680 4603
8 648 5251
9 706 5957
10 689 6646
11 688 7334
12 681 8015
13 662 8677
14 657 9334
15 666 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