Red hair is controlled by three common alleles on one chromosome, all of which are recessive. The likelihood of having a child with red hair is this quite low. What type of inheritance is this

Autosomal Recessive Inheritance

Explanation:

Our genes carry the genetic code that we inherit from our parents and determine the characteristics (for example the type of hair, colour of eyes, shape of nose, how tall or short we become etc

The gene carrying the red hair trait is a recessive gene or allele. That means that it is not a dominant gene and it displays secondary characteristics.

Hence for a child to have red hair, that child must have a pair (that is 2) of the gene (one each from the parents or ancestry) for the red hair to grow on the child.

The gene responsible for red hair is found on Chromosone 16, usually associated with the Melanocortin-1-receptor or MC1R.