Note: I know what a multivariate hypergeometric calculator is.
The deck size/ population is 44 cards. The hand size is 5. For both of these, I'd like to also calculate the odds for different numbers.
The deck has the following variables:
A x 3
B x 3
C x 2
D x 1
E x 3
F x 2
G x 3
H x 3
I x 3
J x 3
K x 3
L x 3
M x 2
Success combinations are as follows:
((A + B)), ((A + C)), ((E + F)), ((G + L)), ((F + E + D)), ((F + B)), ((A + J)), ((E + J)), ((K + J)), ((F + J)), ((B + J)), ((C + J)), ((K + H + A)), ((K + I + A)), ((K + H + F)), ((K + I + F)), ((K + H + E)), ((K + I + E)), ((K + H + B)), ((K + I + B)), ((K + H + C)), ((L + I + C))
Each of these are only successes if I do not draw both M samples
My issue is that a hand can have multiple combo's with an overlapping card; i.e. a hand can have both ((A + B)) and ((A + C)), with either 1 A shared between them, or 2 or 3 A's, for example.
I believe I know exactly what I find out, but I'm unable to articulate it enough to search for it effectively it seems. This should be enough to answer, but if it's easier to know exactly what I'm playing, it's a Dino deck; Animadorned Archosaur x3, Babycerasaurus x3, Petiteranodon x2, Giant Rex x1, Miscellaneousaurus x3, Souleating Oviraptor x2, Scrap Raptor x3, Scrap Chimera x1, Maxx C x3, Ashe Blossom x3, Fossil Dig x3, Terraforming + Lost World x3 (total), and Small World x3. The card I can't draw exactly 2 of Double Evolution Pill, and along with other cards it's 44 total.