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

1 678 678

2 658 1336

3 687 2023

4 675 2698

5 687 3385

6 625 4010

7 654 4664

8 673 5337

9 699 6036

10 633 6669

11 675 7344

12 688 8032

13 675 8707

14 652 9359

15 641 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