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

1 697 697

2 661 1358

3 632 1990

4 691 2681

5 699 3380

6 673 4053

7 674 4727

8 685 5412

9 631 6043

10 639 6682

11 678 7360

12 706 8066

13 607 8673

14 657 9330

15 670 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