n snapdragons, flower color is determined by a gene that follows an incomplete dominance pattern. In this species, the red allele (R) produces red flowers, and the white (W) allele produces white flowers. The heterozygous individual produces a blended phenotype of pink flowers.

To solve this problem, we can determine the genotypes of the parents involved in the cross-pollination and then use a Punnett square to predict the possible offspring genotypes.

1. **Identify the genotypes of the parents**:
- The red snapdragon has the genotype **RR** (homozygous red).
- The pink snapdragon has the genotype **RW** (heterozygous).

2. **Cross the genotypes using a Punnett square**:
- The possible gametes from the red snapdragon (RR) are: R, R (both alleles are red).
- The possible gametes from the pink snapdragon (RW) are: R, W.

Using this information, we can set up the Punnett square:

```
R R
__________
R | RR | RR |
|______|______|
W | RW | RW |
|______|______|
```

3. **Results of the cross**:
- The offspring genotypes are:
- 2 RR (red flowers)
- 2 RW (pink flowers)

4. **Calculate the probability of offspring with white flowers**:
- There are **0** offspring with the genotype WW (white flowers) from this cross.
- Therefore, the probability of the offspring having white flowers is 0%.

**Final Answer**: 0%