"You always hope for a chance like that, but they only come around every couple years," Stastny said. "[Karlsson] … put a pass right on my tape. The way their defender was playing I knew I was going back to him and he put it away."
Marchessault added the top line's third goal of the period at 10:22, scoring when Howard couldn't control Smith's shot.
"We got a little too passive in the defensive zone," Red Wings defenseman Niklas Kronwall said. "We had a decent start to the game, but we didn't carry it over to the second period."
Rasmussen, playing his first game after missing 10 with a hamstring injury, cut it to 3-2 with a power-play goal at 4:41 of the third.
Rasmussen was playing in the second half of a personal back-to-back, having finished a three-game conditioning stint with Grand Rapids of the American Hockey League on Wednesday.
"I felt OK tonight," he said. "Obviously, going down to Grand Rapids helped me a lot, but it is still tough to get going when you come back from an injury."