Final answer:
The chromosomal mistake leading to XYY syndrome occurred during meiosis due to nondisjunction, which is the improper separation of chromosomes or chromatids.
Step-by-step explanation:
The mistake that resulted in Charles having an extra Y chromosome, known as XYY syndrome, could have occurred during meiosis, specifically in nondisjunction during either meiosis I or meiosis II. Nondisjunction is the failure of homologous chromosomes or sister chromatids to separate properly during cell division. If this happens during the formation of sperm, an extra Y chromosome can be included in the genetic material that fertilizes the egg, leading to an individual with XYY syndrome. Charles's case of XYY syndrome tends to have a higher-than-normal risk of learning development delays, but typically does not cause unusual physical features or severe medical problems. Other disorders resulting from extra chromosomes due to nondisjunction include Down syndrome (trisomy 21), Klinefelter syndrome (XXY), and Turner syndrome (XO).