50/50 Odds advanced stats observation

No.10995933 ViewReplyOriginalReport
for anyone out there adept in stats:

Lets say im playing roulette im doing the proverbial Double or nothin strategy. The claim is the house will eventually win because of green. You will go on a 9-10+ drought on a color you chose and lose it all back and more.

Now im trying to figure out; If you walk in on a table where black has already been rolled 15 times out of the last 20, AND the last 4 rolls in a row were black with a green thrown in.

Surely if you start betting on red from that point out the odds of red not hitting another 10 in a row are nigh-astronomical? Like by the time that hits youve already made so much money that loss was a drop in the bucket.

TL,DR:
How to statistical runs work when dealing with (basically) 50/50 odds?