And I just put it into the calculator as well. Not sure what I did differently, but I got pretty different odds to above, making us a significantly bigger favourite.
With no dead cards:
2-7 triple draw sim, 100000 trials, 1 draw:
Dead cards: none
Hand 0: 2
3
5
8
Q
: EV
68.5% - WIN/LOSE/TIE %: 68.5/31.5/0.0
Hand 1: 2
4
7
-- --: EV
31.5% - WIN/LOSE/TIE %: 31.5/68.5/0.0
2-7 triple draw sim, 100000 trials, 1 draw:
Dead cards: none
Hand 0: 2
3
5
8
--: EV
64.4% - WIN/LOSE/TIE %: 64.4/35.6/0.0
Hand 1: 2
4
7
-- --: EV
35.6% - WIN/LOSE/TIE %: 35.6/64.4/0.0
With some arbitrary dead cards:
2-7 triple draw sim, 100000 trials, 1 draw:
Dead cards: 2
2
K
J
8
5
J
A
Hand 0: 2
3
5
8
Q
: EV
66.2% - WIN/LOSE/TIE %: 66.2/33.8/0.0
Hand 1: 2
4
7
-- --: EV
33.8% - WIN/LOSE/TIE %: 33.8/66.2/0.0
2-7 triple draw sim, 100000 trials, 1 draw:
Dead cards: 2
2
K
J
8
5
J
A
Hand 0: 2
3
5
8
--: EV
68.2% - WIN/LOSE/TIE %: 68.2/31.8/0.0
Hand 1: 2
4
7
-- --: EV
31.8% - WIN/LOSE/TIE %: 31.8/68.2/0.0