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 96 123
7 208 331
8 404 735
9 598 1333
10 723 2056
11 852 2908
12 939 3847
13 1006 4853
14 902 5755
15 893 6648
16 782 7430
17 657 8087
18 507 8594
19 401 8995
20 315 9310
21 255 9565
22 165 9730
23 106 9836
24 59 9895
25 46 9941
26 28 9969
27 14 9983
28 10 9993
29 5 9998
30 1 9999
31 0 9999
32 0 9999
33 1 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