Final answer:
The condition for natural selection involving the transfer of characteristics from parent to offspring is that most characteristics of organisms are inherited, which ensures that advantageous traits can be passed down, leading to evolution.
Step-by-step explanation:
The condition for natural selection that requires the transfer of skills and characteristics from an organism to its offspring is that most characteristics of organisms are inherited. In the context of natural selection, this means that traits which provide a survival advantage are more likely to be passed on to the next generation. Hence, offspring with beneficial inherited characteristics are better equipped to compete for limited resources, increasing their chances of surviving and reproducing. These favorable traits will then become more common in the population over time.
Examples of this can be seen in various species where certain advantageous traits, such as camouflage or fast running speed, are passed on from parents to their offspring. This hereditary transfer ensures that not every variation needs to reoccur in each generation; those beneficial mutations that already exist are preserved by descent with modification.