Assume that the mother's genotype is AZ/az, and the father's genotype is Az/aZ, and the recombination rate is 10%. What are the probabilities of an 'az' gamete from each parent

0.45 from mom and 0.05 from dad.

Explanation:

The recombinant progeny might occur due to the crossing over at the time of meiosis in which the exchange of chromosomes occur in the homologous chromosomes of non sister chromatids.

The progeny receives half of their chromosome from the mother and half from the father. The mother 50% AZ and 50% az chromosomes respectively. The 10% recombination has occured due to which the mother chromosomes is reduce upto 45%. The recombinant  10% will be aZ and Az and has 5% frequency. Mom has the ability of az chromosomes is 0.45 %. The father has the genotype 50% Az and 50% aZ. The 10% recombination has occured due to which the father chromosomes is reduce upto 45%. The recombinant will be az and AZ with 5% frequency. So, father has az with 0.05 % probability.

Thus, the answer is 0.45 from mom and 0.05 from dad.