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 34 34
6 89 123
7 241 364
8 384 748
9 604 1352
10 741 2093
11 905 2998
12 895 3893
13 986 4879
14 939 5818
15 925 6743
16 738 7481
17 631 8112
18 501 8613
19 414 9027
20 319 9346
21 211 9557
22 183 9740
23 111 9851
24 67 9918
25 38 9956
26 25 9981
27 8 9989
28 5 9994
29 3 9997
30 2 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