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