Final answer:
The recombination frequency calculated from 30 recombinant offspring out of 1,000 total offspring is 3%. Additionally, the predicted frequency of recombinant offspring in a dihybrid cross cannot exceed 50% as it ranges from 0% to 50% due to the principles of independent assortment.
Step-by-step explanation:
A dihybrid cross produces 30 recombinant offspring out of a total of 1,000 offspring. To find the recombination frequency of the two gene pairs, we divide the number of recombinant offspring by the total number of offspring and then multiply by 100 to convert it to a percentage. The calculation would be (30 / 1000) × 100 = 3%. Therefore, the recombination frequency is 3%.
About the question regarding the predicted frequency of recombinant offspring being 60%, it is not possible. In a test cross for two characteristics, the predicted frequency of recombinant offspring ranges from 0% (completely linked genes) to 50% (completely unlinked genes or genes on different chromosomes) due to independent assortment. A frequency higher than 50% would imply that recombinants are more common than parentals, which is not observed in genetics because the frequency of parentals should always be higher or equal to recombinants. Thus, the correct answer is that the predicted frequency of recombinant offspring cannot exceed 50%.