To determine the probability of offspring having red hair (hh) from the Punnett square involving the alleles H (black hair) and h (red hair), we need to analyze the genotypes of the parents. If we assume both parents are heterozygous (Hh), the Punnett square will show the following possible genotypes for their offspring: HH, Hh, Hh, and hh.
Out of these four combinations, only one genotype (hh) results in red hair. Therefore, the probability of the offspring having red hair is 1 out of 4, or 25%. This outcome is based on the Mendelian inheritance pattern, where the recessive trait (red hair) only manifests when both alleles are recessive.