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

1 692 692

2 672 1364

3 654 2018

4 647 2665

5 684 3349

6 622 3971

7 647 4618

8 660 5278

9 674 5952

10 658 6610

11 666 7276

12 675 7951

13 673 8624

14 665 9289

15 711 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