The child would not inherit the traits of dyed hair or a missing finger. Hair color, including dyed hair, is determined by genetics, but the dye itself is not a genetic trait that can be passed on. Therefore, the child's hair color would depend on the genetic traits inherited from the parents, not the fact that the mother has dyed her hair pink.
As for the missing finger, this trait is not hereditary in the typical genetic sense. The child would not inherit the absence of a finger because this condition was caused by an accident rather than a genetic mutation or trait.
In summary, the child would inherit traits related to natural hair color, which is determined by the parents' genetics, and any other inherited traits would follow typical genetic inheritance patterns. The specific characteristics of dyed hair and a missing finger would not be passed down.