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

1 665 665

2 642 1307

3 638 1945

4 664 2609

5 651 3260

6 667 3927

7 624 4551

8 700 5251

9 672 5923

10 714 6637

11 663 7300

12 687 7987

13 704 8691

14 657 9348

15 652 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