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 83 111
7 223 334
8 396 730
9 576 1306
10 747 2053
11 870 2923
12 973 3896
13 950 4846
14 935 5781
15 880 6661
16 793 7454
17 656 8110
18 522 8632
19 405 9037
20 319 9356
21 220 9576
22 164 9740
23 112 9852
24 61 9913
25 53 9966
26 10 9976
27 13 9989
28 4 9993
29 6 9999
30 1 10000
31 0 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