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 26 26
6 90 116
7 224 340
8 437 777
9 587 1364
10 684 2048
11 909 2957
12 982 3939
13 938 4877
14 917 5794
15 845 6639
16 781 7420
17 662 8082
18 533 8615
19 413 9028
20 292 9320
21 257 9577
22 159 9736
23 102 9838
24 62 9900
25 46 9946
26 23 9969
27 12 9981
28 12 9993
29 3 9996
30 3 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