Probability calculation of stud

Stud probability calculation (five cards):

Card size comparison:
Flush) Four "gourd" with Flower) 3 〉〉2 pair) hash card

Probability calculation:
All possible cases: C (5,52) =2598960

1). Scatter card (1+1+1+1+1)
n = (C (1,52) *c (1,48) *c (1,44) *c (1,40) *c (1,36))/(P (5,5)) =1317888
p = 0.50708283313325330132052821128451

2). Pair (2+1+1+1)
n = (C (1,13) *c (2,4) *c (1,48) *c (1,44) *c (1,40))/(P (bis)) =137280
p = 0.052821128451380552220888355342137

3). Two pair (2+2+1)
n = (C (2,13) *c (2,4) *c (2,4) *c (1,44))/(P (3,3)) =20592
p = 0.0079231692677070828331332533013205

4). Three article (3+1+1)
n = (C (1,13) *c (3,4) *c (1,48) *c (1,44))/(P (3,3)) =18304
p = 0.0070428171268507402961184473789516

5). Shun Zi
n = C (1,9) *c (1,4) *c (1,4) *c (1,4) *c (1,4) =9216
p = 0.0035460337981346384707729245544372

6). Flush with flowers
n = C (5,13) *c (1,4) =5148
p = 0.0019807923169267707082833133253301

7). Gourd (3+2)
n = (C (1,13) *c (3,4) *c (1,12) *c (2,4))/(P (2,2)) =3744
p = 0.0014405762304921968787515006002401

8). Four article (4+1)
n = C (1,13) *c (1,48) =624
p = 0.00024009603841536614645858343337335

9). Flush
n = C (1,9) *c (1,4) =36
p = 0.00001385169452396343152645673654077