**Category:** Genetics  
**Subtype:** Mendelian Inheritance  
**Problem Description:** This problem involves a genetic cross between two red-eyed individuals resulting in a specific phenotypic ratio in the offspring. It asks to evaluate the correctness of several statements regarding the inheritance of eye color in the offspring (F2 generation) based on Mendelian principles.

1. **Statement I:** The allele for red eyes is completely dominant over the allele for white eyes.
2. **Statement II:** In the F2 generation, the heterozygous genotype accounts for 50% of the individuals.
3. **Statement III:** Among the total red-eyed individuals in the F2 generation, 1/3 have a homozygous genotype.
4. **Statement IV:** If red-eyed F2 individuals are crossed randomly, 1/9 of the offspring will have white eyes.

The task is to determine how many of these statements are correct.