A card drawing simulation with 10000 trials

The average number of cards required to find 5 copies of the target card is 14.

Cards Drawn Games Sum
1 0 0
2 0 0
3 0 0
4 0 0
5 27 27
6 93 120
7 231 351
8 428 779
9 600 1379
10 750 2129
11 845 2974
12 921 3895
13 934 4829
14 891 5720
15 899 6619
16 773 7392
17 690 8082
18 506 8588
19 417 9005
20 348 9353
21 203 9556
22 169 9725
23 102 9827
24 71 9898
25 46 9944
26 29 9973
27 13 9986
28 10 9996
29 2 9998
30 1 9999
31 1 10000
32 0 10000
33 0 10000
34 0 10000
35 0 10000
36 0 10000
37 0 10000
38 0 10000
39 0 10000
40 0 10000
41 0 10000
42 0 10000
43 0 10000
44 0 10000
45 0 10000
46 0 10000
47 0 10000
48 0 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 (search) in my 90 card deck; when should I expect to draw at least 7?
Decksize = 90, Target = 12, Search = 6, Desired = 7