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 30 30
6 92 122
7 208 330
8 385 715
9 572 1287
10 720 2007
11 846 2853
12 944 3797
13 995 4792
14 955 5747
15 917 6664
16 770 7434
17 624 8058
18 547 8605
19 405 9010
20 287 9297
21 231 9528
22 183 9711
23 121 9832
24 62 9894
25 48 9942
26 27 9969
27 18 9987
28 5 9992
29 4 9996
30 3 9999
31 1 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