Acell containing a gene for blonde hair and blue eyes as well as genes for brown hair and brown eyes goes through meiosis. what is the chance that each of these gametes will have a combination of brown hair and blue eyes

Yes, and the Mendel Laws explain this question.
But, according to the inheritance laws, that will depend on other characteristics of the genes, specifically the dominance of their alleles.
The result will vary depending on which cell is the one that possesses the dominant genes.
For example, a 6.25% probability is in favor of a result of an individual with brown hair and blue eyes if these alleles are recessives, while 54,25% are in favor of this result, if the alleles are dominant.