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 22 22
6 98 120
7 252 372
8 414 786
9 551 1337
10 749 2086
11 874 2960
12 967 3927
13 1024 4951
14 930 5881
15 854 6735
16 783 7518
17 607 8125
18 488 8613
19 424 9037
20 311 9348
21 224 9572
22 148 9720
23 109 9829
24 71 9900
25 45 9945
26 27 9972
27 19 9991
28 4 9995
29 4 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