The Detroit Red Wings enter Monday night’s home game against the Montreal Canadiens with their playoff hopes fully alive after being on life support on Saturday.Playing at Toronto, the Red Wings needed at least one point to avoid being mathematically eliminated from playoff contention.The situation got even more tense when a lethal Maple Leafs offense went on a power play with 2:45 remaining in regulation and the game tied at 4-4.But the Red Wings managed to kill the penalty, then got the point they needed by forcing overtime. They got an extra point by winning the game, 5-4, on Dylan Larkin’s power-play goal.Now, Detroit enters its last home game of the regular season very much in the playoff mix.The Red Wings (39-32-9, 87 points) enter Monday in a three-way tie with Washington and Philadelphia for the second and final wild-card spot in the Eastern Conference. Detroit needs to finish ahead of those teams in the standings because both the Capitals and Flyers own the tiebreaker over the Red Wings based on regulation wins.Washington (38-31-11, 87 points) and Philadelphia (38-32-11, 87 points) play each other to close the regular season, meaning one of those two teams is guaranteed to get at least 89 points. Detroit knows it needs a minimum of three points in its final two games to qualify for the postseason.The game in Detroit will be the first of a back-to-back between the Red Wings and Canadiens. The teams will play again on Tuesday in Montreal to close out the regular season.”We’ve got Montreal, and man, that’s dangerous, the way they’ve been going,” Larkin said. “We’ve been in that position that they’re in, and it’s a whole different ballgame of what we’ve been playing, these playoff-style games. We need to show up and have our foot on the gas.”To Larkin’s point, Montreal has been a dangerous team to play even though it has long been eliminated from playoff contention.