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

1 646 646

2 653 1299

3 605 1904

4 675 2579

5 693 3272

6 651 3923

7 680 4603

8 648 5251

9 706 5957

10 689 6646

11 688 7334

12 681 8015

13 662 8677

14 657 9334

15 666 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