A certain organism possesses a pair of each of 5different

Chapter 3, Problem 3.69

(choose chapter or problem)

A certain organism possesses a pair of each of 5different genes (which we will designate by thefirst 5 letters of the English alphabet). Each geneappears in 2 forms (which we designate by lowercaseand capital letters). The capital letter willbe assumed to be the dominant gene, in the sensethat if an organism possesses the gene pair xX,then it will outwardly have the appearance of theX gene. For instance, if X stands for brown eyesand x for blue eyes, then an individual havingeither gene pair XX or xX will have brown eyes,whereas one having gene pair xx will have blueeyes. The characteristic appearance of an organismis called its phenotype, whereas its geneticconstitution is called its genotype. (Thus, 2 organismswith respective genotypes aA, bB, cc, dD,ee and AA, BB, cc, DD, ee would have differentgenotypes but the same phenotype.) In a matingbetween 2 organisms, each one contributes, at random,one of its gene pairs of each type. The 5contributions of an organism (one of each of the5 types) are assumed to be independent and arealso independent of the contributions of the organismsmate. In a mating between organisms havinggenotypes aA, bB, cC, dD, eE and aa, bB, cc,Dd, ee what is the probability that the progenywill (i) phenotypically and (ii) genotypicallyresemble(a) the first parent?(b) the second parent? (c) either parent?(d) neither parent?