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

1 643 643

2 663 1306

3 634 1940

4 656 2596

5 653 3249

6 612 3861

7 678 4539

8 687 5226

9 684 5910

10 700 6610

11 695 7305

12 691 7996

13 671 8667

14 659 9326

15 674 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