Final answer:
After nondisjunction during meiosis II in a cell with a diploid number of two, the gametes would be expected to have chromosome numbers of 0, 1, 1, and 2 respectively.
Step-by-step explanation:
If a cell with a diploid number of two undergoes meiosis, and nondisjunction occurs during meiosis II, the result is an unequal distribution of chromosomes among the gametes. In meiosis II, sister chromatids fail to separate. This leads to one gamete that lacks a chromosome, two normal gametes with one copy of each chromosome, and one gamete with two copies of a chromosome. Therefore, in this scenario, we would predict that one gamete would have no chromosomes, two gametes would each have one chromosome (the normal haploid number for a cell with a diploid number of two), and one gamete would have two chromosomes.
So, in summary, after nondisjunction in meiosis II in a cell with a diploid number of two, we would expect the following chromosome numbers in the resulting gametes: 0, 1, 1, 2.