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 25 25
6 95 120
7 227 347
8 413 760
9 605 1365
10 754 2119
11 902 3021
12 944 3965
13 954 4919
14 958 5877
15 848 6725
16 758 7483
17 672 8155
18 476 8631
19 416 9047
20 288 9335
21 223 9558
22 169 9727
23 112 9839
24 80 9919
25 37 9956
26 20 9976
27 11 9987
28 8 9995
29 0 9995
30 3 9998
31 1 9999
32 0 9999
33 0 9999
34 1 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