The Football Predictor says they have a 20 per cent chance of doing that, with the draw a 24 per cent possibility and a home win a 54 per cent probability.
The Gunners have opened the scoring in the last 40 per cent of their away games, a decent stat against a side who have been conceding early in recent games.
They can be backed at 8/5 to score a goal in the first half, which could prove good value based on the first-half performances produced by Sir Alex Ferguson's side of late.
The Predictor also reveals that in the last 20 games on the road, 46 per cent of the 35 goals scored by Arsenal have been netted by forwards, 34 per cent by midfielders and 20 per cent by defenders.
The last time that Arsenal beat United at Old Trafford in the Premier League was back in the 2006/07 season, when they triumphed 1-0.
A repeat of that outcome is priced up at 23/2, although the Predictor suggests that a 1-1 draw could be on the cards and that scoreline is a 51/10 chance with GunnersGaming(LINK: https://www.gunnersgaming.com/start/gg/).
*Fancy winning 4 VIP tickets to see Arsenal v Montpellier? Open an account with GunnersGaming and you will receive an entry into the prize draw for every £10 you wager before November 18
*Odds correct at time of writing. Terms and conditions apply.