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 30 30
6 96 126
7 249 375
8 378 753
9 575 1328
10 783 2111
11 841 2952
12 924 3876
13 941 4817
14 929 5746
15 860 6606
16 795 7401
17 650 8051
18 567 8618
19 393 9011
20 303 9314
21 249 9563
22 167 9730
23 96 9826
24 87 9913
25 48 9961
26 26 9987
27 10 9997
28 1 9998
29 1 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