A card drawing simulation with 10000 trials

The average number of cards required to find 5 copies of the target card is 13.9.

Cards Drawn Games Sum
1 0 0
2 0 0
3 0 0
4 0 0
5 24 24
6 105 129
7 225 354
8 381 735
9 577 1312
10 766 2078
11 900 2978
12 971 3949
13 971 4920
14 956 5876
15 873 6749
16 719 7468
17 637 8105
18 498 8603
19 427 9030
20 302 9332
21 250 9582
22 162 9744
23 86 9830
24 65 9895
25 42 9937
26 29 9966
27 14 9980
28 11 9991
29 4 9995
30 3 9998
31 1 9999
32 0 9999
33 0 9999
34 1 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