**Category:** Genetics  
**Subtype:** Inheritance Patterns (specifically, dihybrid crosses)  
**Problem Description:** This problem involves understanding the inheritance of flower color in a plant species governed by two pairs of genes. It requires analyzing the genotypes and phenotypes of the F1 and F2 generations, determining the correctness of several statements regarding the genetic ratios and outcomes of subsequent generations. 

**Key Points:**
- The F1 generation consists entirely of red-flowered plants.
- The F2 generation exhibits a phenotypic ratio of 9 red : 6 pink : 1 white.
- The problem asks how many of the provided statements about the F2 and F3 generations are correct, focusing on genotype ratios and expected phenotypic outcomes from specific crosses.