So, we're still a major longshot to make the playoffs, but as this streak gets longer it really starts to move the needle.
http://www.sportsclubstats.com/NHL/Eastern/Metropolitan/Carolina.html
According to them, we'll be about a 50-50 shot if we can win 20 of our final 37 games. That doesn't seem like a crazily high hurdle to clear.
I know you said 50/50 chance, but I don't think 20/37 is going to cut it. That's 40 points in 37 games, or a 1.08 PPG pace and the Canes are currently at a 1.04 PPG pace (47points/45G). To date, there are already 10 teams that are currently sitting at a PPG pace BETTER than 1.08 so far this season. FLA, Det, MTL, TBL, BOS, WSH, NYI, NYR, PIT, PHI
I realize there are heads to heads, and some teams are struggling, etc...but IMO, the Canes are going to need to do better than that to overcome 3 out of those 10 teams. Last year, it took 98 points to make the playoffs in the east, the year before that, it took 93. I think it's going to take about 93 points to get into the playoffs, give or take a point or two.
So the Canes probably need 46 points in 37 games, which means playing at a 1.24 PPG pace. That's not out of the question if they continue to play like they are, but it would mean they play at a better pace over those 37 games than everyone in the east but Florida and Washington has so far this season.