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 14 14
6 122 136
7 213 349
8 372 721
9 616 1337
10 713 2050
11 902 2952
12 969 3921
13 1025 4946
14 896 5842
15 869 6711
16 750 7461
17 638 8099
18 507 8606
19 424 9030
20 315 9345
21 231 9576
22 153 9729
23 120 9849
24 64 9913
25 34 9947
26 22 9969
27 18 9987
28 7 9994
29 5 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