The last head to head result occurred in 1991, and it seems that if you consider a head to head result like that with the current condition and situation of the team it seems like a joke too. Because after all, at this moment it is clear that Arsenal are the best in the Premier League and yes, even from the previous two seasons Arsenal managed to have good results too . Meanwhile for Luton, in reality Luton this season is only a promoted team and what's more, Luton at this moment is also in the bottom zone in the Premier League standings. So yes, considering their head to head matches doesn't have any impact at all at this moment, because their quality is clearly very different this moment.
For Luton Town, the match against Arsenal is a mission impossible to win. But no matter how difficult the match is, Luton Town must remain optimistic to give their best even if the result is nil. Of course Arsenal is the best team this season in 14 matches, but no one can guarantee that they will always win their matches against any promoted team, including Luton Town.
The chances of Luton Town winning this match are very low, as is the probability of a draw. Arsenal are favorites to win by 3 points and if Arsenal's performance is good then I think the score will be more than 2 goals today. Luton Town can usually score goals and they rarely lose without scoring, except against Chelsea, Manchester United and Tottenham. But perhaps, Arsenal will not give Luton a chance today to find a single goal until the end of the match.
Luton Town might be having poor time in PL right now but that is no reason to undermine them at all for Arsenal. Arsenal are enjoying a good lead on the table and are on the top of the table. So Arsenal wouldn't want to lose that lead here and Luton on other hand would be trying hard to get some points on the table for change so to be honest Arsenal should go all guns out and no mercy against this fixture. There is no point to relax right now in this game. Hopefully Arsenal will win this easy match and register another 3 points to their account on the table.