Then there's absolutely no point in rerolling.
Does everyone know how to mathhammer rerolls? For everyone's benefit I will run through rerolls (both the good and bad type).
Pink bits are the important parts.
lets say it's a 5+AS:
So the chance of passing a 5+AS is: (2/6) = 2/6 or 12/36 (Pretty fucking obvious stuff)
So if you have 36 models that need to take an AS at 5+ you would expect roughly 12 of them to survive (poor guardsmen).
The chance of passing a 5+AS with a reroll if they fail the test is: (2/6) + (4/6)*(2/6) = 20/36
So if you have 36 models that need to take an AS at 5+ with a reroll if they fail the test you would expect about 20 of them to survive.
The chance of passing a 5+AS with a reroll if they pass the test is: (2/6) - (4/6)*(2/6) = 4/36
So if you have 36 models that need to take an AS at 5+ with a reroll if they pass the test you would expect about 4 of them to survive.
So what is the chance of surviving a 5+ AS if you reroll failed and successful ASs?
Prob(surviving) = (2/6) + (4/6)(2/6) - (4/6)(2/6)
= (12/36) + (8/36) - (8/36)
= 12/36
So if you have 36 models that need to take an AS at 5+ you would expect roughly 12 of them to survive. (Déjà vu anyone?)
Which is exactly the same as 5+!!!