diff --git a/OpenRA.Game/Effects/Bullet.cs b/OpenRA.Game/Effects/Bullet.cs
index dd72496ca6..a7850babd9 100755
--- a/OpenRA.Game/Effects/Bullet.cs
+++ b/OpenRA.Game/Effects/Bullet.cs
@@ -57,9 +57,7 @@ namespace OpenRA.Effects
 			Info = info;
 			Args = args;
 
-			VisualDest = args.dest + new int2(
-						args.firedBy.World.CosmeticRandom.Next(-10, 10),
-						args.firedBy.World.CosmeticRandom.Next(-10, 10));
+			VisualDest = args.dest + (10 * args.firedBy.World.CosmeticRandom.Gauss2D(1)).ToInt2();
 
 			if (Info.Image != null)
 			{
diff --git a/OpenRA.Game/WorldUtils.cs b/OpenRA.Game/WorldUtils.cs
index d6757e329b..4ce3391662 100755
--- a/OpenRA.Game/WorldUtils.cs
+++ b/OpenRA.Game/WorldUtils.cs
@@ -217,5 +217,18 @@ namespace OpenRA
 		{
 			return w.WorldActor.Info.Traits.WithInterface<CountryInfo>();
 		}
+
+		public static float Gauss1D(this Thirdparty.Random r, int samples)
+		{
+			var xs = Graphics.Util.MakeArray(samples, _ => (float)r.NextDouble() * 2 - 1);
+			return xs.Sum() / samples;
+		}
+
+		// Returns a random offset in the range [-1..1,-1..1] with a separable 
+		// Gauss distribution with 'samples' values taken for each axis
+		public static float2 Gauss2D(this Thirdparty.Random r, int samples)
+		{
+			return new float2(Gauss1D(r, samples), Gauss1D(r, samples));
+		}
 	}
 }