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 28 28
6 103 131
7 231 362
8 346 708
9 624 1332
10 751 2083
11 865 2948
12 962 3910
13 963 4873
14 962 5835
15 829 6664
16 774 7438
17 625 8063
18 496 8559
19 384 8943
20 319 9262
21 256 9518
22 164 9682
23 120 9802
24 81 9883
25 45 9928
26 36 9964
27 18 9982
28 10 9992
29 5 9997
30 2 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