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?)

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+!!!__