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 88 110
7 270 380
8 408 788
9 599 1387
10 748 2135
11 820 2955
12 949 3904
13 993 4897
14 911 5808
15 865 6673
16 790 7463
17 642 8105
18 502 8607
19 419 9026
20 288 9314
21 253 9567
22 162 9729
23 121 9850
24 64 9914
25 38 9952
26 24 9976
27 13 9989
28 6 9995
29 4 9999
30 0 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