Mitt Romney and President Obama greet each other at the 67th annual Alfred E. Smith Memorial Foundation Dinner in New York this week. (Charles Dharapak/AP)

While President Obama faces a tougher contest nationally than in 2008, that’s not at all the case in deep-blue Maryland.

Obama leads Mitt Romney, his Republican challenger, 60 percent to 36 percent, among likely voters in the Free State, according to a new Washington Post poll.

That’s almost exactly the same margin as four years ago, when Obama defeated Sen. John McCain (R-Ariz.) at the ballot box, 62 percent to 37 percent.

Nationally, the race is, of course, much closer, in the most recent Washington Post-ABC News national poll and others.

In Maryland, Obama beats Romney among all age groups, just as he did McCain in 2008.

Obama is winning black voters 93 percent to 3 percent, while trailing among white voters 43 percent to Romney’s 55 percent. The 2008 exit poll in the state showed Obama and McCain splitting white voters about evenly.

Both Obama and Romney have overwhelming leads among voters from their respective parties, while Obama leads Romney, 55 to 36 percent among independent voters.

Maryland voters also give Obama higher marks for his job performance than do those across the country. In Maryland, 61 percent of likely voters approve of the overall job he is doing as president; 36 percent disapprove.

Nationally, opinion is divided far more evenly among those most likely to cast ballots this year: 50 percent approve and 48 percent disapprove.

Scott Clement contributed to this story.