Each Red Delicious apple you buy year to year is the same as every other. Indeed, all Red Delicious apples are members of a clone. They are reproduced by means of grafting. The same goes every other variety of fruit. A common technique of grafting is shown in the video below.
Interestingly, the genetics of the root stock does not influence the nature of the fruit produced. A red delicious apple scion graphed onto a different species of apple-related root stock will remain a red delicious apple. However, if the scion is too genetically different (e.g., different family) from the rootstock, the scion will simply not grow due to a genetic incompatibly between scion and rootstock.
Discuss pros and cons of sexual vs asexual reproduction. The following table will help.