Final answer:
Non-disjunction during meiosis I on the oocyte is responsible for the extra copy of chromosome 21 in individuals with Down syndrome.
Step-by-step explanation:
The extra copy of chromosome 21 in individuals with Down syndrome is most likely due to non-disjunction during meiosis I on the oocyte. Non-disjunction is the failure of chromosomes to separate properly during cell division, resulting in an incorrect distribution of chromosomes in the resulting gametes.