Terminology

Gametes
Parental haploid reproductive cells.

Overview

Number of Unique Gametes for Independent Assortment
$$2^n$$ where n is the number of heterozygous loci

Dihybrid Crosses

Dihybrid crosses only work if genes are on two different chromosomes and can independently assort.

If genes can independently assort, you can break your dihybrid cross into two monohybrid crosses for each gene and multiply their probabilities together.

Combining Monohybrid Crosses into Dihybrid Probabilities

For each independently assorting gene:

$$3/4 \text{ dom} * 3/4 \text{ dom}$$
$$9/16$$ total dominant
$$3/4 \text{ dom} * 1/4 \text{ rec}$$
$$3/16$$ total heterozygous
$$1/4 \text{ rec} * 3/4 \text{ dom}$$
$$3/16$$ total heterozygous
$$1/4 \text{ rec} * 1/4 \text{ rec}$$
$$1/16$$ total rec

Probability Rule

$$P(\text{smooth AND yellow}) = P(smooth) * P(yellow)$$