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 21 21
6 109 130
7 254 384
8 411 795
9 567 1362
10 723 2085
11 834 2919
12 980 3899
13 965 4864
14 941 5805
15 875 6680
16 785 7465
17 603 8068
18 528 8596
19 428 9024
20 324 9348
21 235 9583
22 139 9722
23 113 9835
24 75 9910
25 45 9955
26 16 9971
27 13 9984
28 8 9992
29 6 9998
30 1 9999
31 0 9999
32 1 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