Jim and pam are both homozygous recessive for blonde hair and homozygous recessive for blue eyes. what are the chances that jim and pam will have a child with brown hair and blue eyes?

The chances of Jim and Pam having a child with brown hair and blue eyes is nil.

Explanation:

Both Jim and Pam are homozygous recessive for blonde hair and blue eyes. This means that both the alleles in both of them are recessive. So, all the gametes formed will also have the recessive allele for both these traits. As a result the genotype of the progeny will also be homozygous for blonde hair and blue eyes.

Lets assume the recessive allele for blonde hair is bb, and for the blue eyes is zz. The gametes formed will be :  bz, bz, bz, bz. Therefore the genotype of their children will be :