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 20 20
6 99 119
7 242 361
8 381 742
9 567 1309
10 734 2043
11 882 2925
12 931 3856
13 963 4819
14 911 5730
15 893 6623
16 777 7400
17 663 8063
18 563 8626
19 364 8990
20 324 9314
21 230 9544
22 166 9710
23 113 9823
24 80 9903
25 46 9949
26 22 9971
27 14 9985
28 8 9993
29 3 9996
30 4 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