Need Help Calculating House Edge On Never Seen Before SIDE BET

Here is what I calculate for the probability of each red streak given a specific number of decks. At the bottom, you can see the house edge, which seems to be about what we would expect for a side bet with these types of pays. When the pays get really high, then we expect a greater house edge.

	1 deck	2 decks	4 decks	6 decks	8 decks	infinite decks	win
0 reds	0.5	0.5	0.5	0.5	0.5	0.5	-1
1 red	0.254901961	0.252427184	0.251207729	0.250803859	0.25060241	0.25	-1
2 reds	0.168355958	0.168497123	0.168568006	0.168591672	0.168603511	0.168639053	2
3 reds	0.065499431	0.066845566	0.067496271	0.067709974	0.067816235	0.068132681	3
4 reds	0.010464442	0.011245796	0.01163154	0.011759346	0.0118231	0.01201376	8
5 reds	0.000755584	0.000942202	0.001041644	0.001075657	0.001092822	0.001144943	50
6 reds	2.2361E-05	4.11499E-05	5.31546E-05	5.75513E-05	5.98241E-05	6.69422E-05	100
7 reds	2.62613E-07	9.67799E-07	1.6246E-06	1.90159E-06	2.05208E-06	2.55447E-06	250
8 reds	7.81482E-10	1.16014E-08	2.96549E-08	3.90588E-08	4.45714E-08	6.48982E-08	250
9 reds	0	5.39252E-11	2.94089E-10	4.69881E-10	5.85539E-10	1.07837E-09	250
10 reds	0	4.18399E-14	1.27737E-12	2.82574E-12	4.07375E-12	1.09905E-11	250
11 reds	0	0	1.97463E-15	6.49486E-15	1.17181E-14	6.00761E-14	250
12 reds	0	0	0	6.06766E-19	4.00221E-18	1.36227E-16	250
house edge	-9.79%	-7.35%	-6.07%	-5.64%	-5.42%	-4.76%

Course the next question is, is it countable? How big would the red bias have to be to make the bet positive EV...