In Mendel's dihybrid cross,what is the probability of obtaining a homozygous recessive plant in the $F_2$ generation?

State the Law of Independent Assortment and explain how it is derived.

In a cross between $TTRr$ and $ttrr$,what percentage of the offspring will be tall with red flowers (in $\%$)? (Assume $T$ is tall,$t$ is dwarf,$R$ is red,and $r$ is white).

$A$ pure breeding pea plant with round yellow seeds was crossed with a pea plant having wrinkled green seeds. On selfing of the $F_1$ hybrid of this cross,$64$ progenies were obtained in the $F_2$ generation. Find out the number of $F_2$ progenies showing non-parental characters.

$A$ dihybrid plant produced by self-pollination yields $400$ seeds with $9$ different genotypes. How many seeds will have the $TtRr$ genotype?

From a mating of two dihybrid individuals $(AaBb \times AaBb)$,how many of the $16$ possible zygote combinations would be expected to be homozygous dominant for both genes?