First of all the basics. We have two different copies of each gene. We inherit one from our mum and one from our dad, and alternate versions of genes are known as alleles. An allele can be either dominant or recessive, and in a heterozygous genotype, it is the dominant gene that causes the phenotype (or trait/characteristic) to be seen. A heterozygous genotype has a dominant and a recessive allele. A homozygous genotype has either two dominant alleles or two recessive alleles. In genetics a dominant trait is represented by an upper case letter, and a recessive trait is expressed with a lower case letter.
People who place their left thumb over their right thumb when they interlock their fingers, possess either one or two dominant versions of the gene (F). Whilst people who place their right thumb over the left possess two recessive genes (f).
So if a heterozygous dominant parent has a child with a homozygous recessive parent then there is a 50% chance that their children will place the left thumb over the right.
If a homozygous dominant parent has a child with a homozygous recessive parent then all of the children will place the left thumb over the right.