I get -3 proficiency!

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I have a dual wielding fighter with ambidexterity and tow weapon fighting and large sword specialisation. But it says in the character area that he has -3 proficiency with both swords!Is that normal?

 

That sounds correct. From the manual:

Code:

Table 9:Two-Weapon Fighting Penalties

Circumstances            Primary  Off
                         Hand     Hand

Normal Penalties         -6       -10

Off-hand weapon is light -4       -8

Ambidexterity feat       -6       -6

Two-Weapon Fighting feat -4       -8

Off-hand weapon is light
and Ambidexterity feat   -4       -4

Off-hand weapon is light
& Two-Weapon Fight. feat -2       -6

Ambidexterity feat and
Two-Weapon Fighting feat -4       -4

Off-hand weapon is light
and Ambidexterity feat 
& Two-Weapon Fight. feat -2       -2

You're using the second last one:
Ambidexterity + Two-Weapon Fighting (+ off-hand weapon is NOT light) = -4/-4,
+1 to hit for Weapon Spec. in Large Swords = -3/-3.

 

Yes - what Luiz said. I find it is sometimes useful to have a light offhand weapon with another effect (e.g. that dagger that gives an AC bonus or something with elemental damage).