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Punnett Squares and Probability Punnett squares are a method in which all the possible offspring types are determined based on the parents’ genes. The genes of individuals (represented by alleles) are called genotypes. The physical appearance or phenotype of an individual is a result of what the genotype determines. For example, if freckles are dominant over no freckles, the genotype Ff would have the phenotype of having freckles. The parents’ genotypes determine what possible alleles are given to the offspring. The allele type varies and according to the laws of segregation and independent assortment, two different genes with different alleles separate completely and recombine in four possible gamete combinations. An easy way for students to remember how to find the possible gametes, the acronym FOIL (first, outside, inside, last) is often used. For example, if the parent genotype is AaBb, the four possible gametes are AB, Ab, aB, and ab. Using a Punnett square, the gametes are combined in such a way as to determine all the possible genotypes. A ratio of the number of genotypes is gathered by adding up all the same genotypes and comparing them to the others using a colon between the numbers. A ratio of the phenotypes of the offspring are gathered in a similar manner. 1. If freckles are dominant over plain cheeks, and cleft chin is dominant over a smooth chin, what would the genotype of a parent be who is heterozygous freckled and heterozygous cleft? 2. What are the possible gametes of the father? Use the FOIL method to determine. 3. Using a Punnett square, what are the possible offspring of the parents if they both are heterozygous for freckles and cleft chin? 4. What are the genotypic ratios and phenotypic ratios of the offspring of those two parents? F. Sex-Linked Traits Sometimes a particular trait is found on a sex chromosome, usually X. These genes are called sex-linked genes only because they are located on the sex chromosome X. The characteristic has nothing to do with the sex of the individual. Since females have two X (XX) and males only have one (XY), males have a higher chance of expressing a defective recessive gene since they don’t have another X to act as the dominant X. Females with only one defective allele are said to be carriers. Their phenotype is normal and they do not express the disorder. A Punnett square to determine sex-linked inheritance must include the sex chromosomes X and Y using a lowercase superscript to denote the defective recessive gene located on the X chromosome. A few sex-linked disorders are commonly found worldwide. The first is colorblindness (noted as Xc) in which an afflicted individual inherits a defective gene coding for the color-detecting cones of the eye’s retina. This individual may have a hard time distinguishing two colors. A second type of sex-linked disorder is the blood clotting defect called hemophilia. An individual with hemophilia cannot produce adequate blood clots and may bleed to death as a result. This disease is noted as Xh where the h is the defective blood-clotting protein. A third type of sex-linked disease is Fragile X syndrome. A person with Fragile X inherits an addition of 600+ nucleotides on the X chromosome which results in abnormal facial features and intellectual disabilities. This is denoted as Xf. The fourth and final common sex-linked disorder is Duchenne’s muscular dystrophy (Xd) in which the individual inherits a defective muscle protein causing progressively weakened muscles. The average life span for someone with Duchenne MD is 25 years. 5. What is a sex-linked trait? 6. Why are males more prone to inherit the disease or disorder? 7. Why are females considered carriers? Why can’t males be carriers? 1 8. Cross a male afflicted with colorblindness and a normal woman. 9. If a female carrier of Fragile X syndrome has children with a normal male, what are the chances that a boy will be born with Fragile X syndrome? 10. Cross a male hemophilia with a female carrier of hemophilia. What are the chances they will have a girl with hemophilia? 11. Cross a female carrier of Duchenne’s muscular dystrophy with a healthy male. What are the chances the will have a girl with Duchenne? I. Incomplete Dominance hh H’H’ H’h In simple heredity, an uppercase allele means it is a dominant allele and its phenotype is always expressed. This is not always the case as some “dominant” alleles aren’t truly dominant. These are called incompletely dominant where the heterozygote shows a blend of the incomplete dominant and the recessive. These uppercase alleles may be designated with a ‘ or “prime” to signal that they do not act dominantly. In the case of flowers, snapdragons’ red pigment behaves incompletely dominant where R’r is pink! In order to see the “dominant” phenotype, the genotype must be homozygous dominant. The same holds true for the recessive phenotype, as is typical. In humans, nose size and hair texture act similarly. A large nose (L) is incompletely dominant (L’) over a small nose (l) making the heterozygote (L’l) a medium-sized nose. Curly hair is incompletely dominant (C’) over straight hair (c) making the heterozygote individual wavy-haired (C’c). 12. Why is using the character ‘ a good practice when noting incomplete dominance? 13. Blue hair in aliens is incompletely dominant over red hair. Cross two heterozygous aliens. a. What are the genotypes? b. What phenotype is the heterozygote? 14. Wide-set eyes are incompletely dominant over close-set eyes. a. What are the gentoypes? b. What phenotype is the heterozygote? 2 Multiple Alleles So far, all genes have been coded for by two alleles, one from the father and one from the mother. This will always be the case as each parent can only donate one allele. Certain genes are coded for by more than two alleles, so the phenotype depends on which alleles are passed down and the order of dominance. This inheritance pattern is termed multiple alleles and although it uses more than two alleles for one gene, each allele uses one letter, often times with superscripts to differentiate variances. A prime example of this is in human blood types where the letter I denotes the protein immunoglobulin. A genotype of IA denotes the phenotype type A blood, IB denotes type B blood, and the recessive i denotes the absence of A or B which is termed type O blood. 15. How many different letters of genes are used to denote multiple alleles? Why? 16. In corn kernel color, yellow is dominant over white, white is dominant over blue, and blue is dominant over red. What should the alleles be to represent each phenotype? 17. Cross a pure bred blue corn plant with a heterozygous yellow-white corn plant. K. Codominance The final complex pattern of heredity is termed codominance where two dominantly inherited alleles code for the same trait. Since both alleles are dominant, the phenotype shows BOTH phenotypes, not a blend, but each phenotype equally. In the case of humans, two particular traits use codominance. The first trait is sickle-cell anemia where the heterozygous individual has both round red blood cells (R) and sickle-shaped red blood cells (S). The genotype for this may be RS. Another human trait that uses codominance is blood type where type A and type B are dominant, therefore an individual with the IA and IB allele is said to be blood type AB. This type of inheritance pattern is also frequently found in flower petals, and certain furry mammals such as roan cattle, a codominant red and white phenotype (RW). 18. Sickle-cell anemia is a codominant trait. Cross two heterozygous individuals. 19. What percent of offspring may contract sickle-cell? 20. Why is blood type in humans considered both multiple alleles and codominance? 3