LABORATORY #12: GENETICS LAB Introduction Genetics studies the mechanism by which traits are passed down from parent to offspring. This is known as inheritance. The modern Chromosomal Theory of Inheritance was started by the works of Gregor Mendel in 1866. Mendel’s work focused attention on the general patterns of inheritance and eventually led to an understanding of the role of chromosomes and DNA in inheritance. The realm of inheritance patterns is now known as Mendelian genetics. Mendel’s most significant principle was the Principle of Segregation. It is the foundation of Mendelian genetics and it states that organisms get two genes for every trait. These genes come from the parents (one gene from each). During the production of gametes, these genes separate or segregate into separate cells. When the gametes unite to form a zygote, each gamete supplies one parental set of genes. The modern explanation of this principle states that genes for the same trait are on homologous chromosomes and that homologous chromosome pairs separate during meiosis – or the formation of gametes. The homologous chromosomes become a pair again during gamete fusion or fertilization. Mendelian genetic problems require the knowledge of certain definitions. These definitions are listed for you below: 1. Genotype – the genetic makeup of the trait 2. Phenotype – the physical or biochemical manifestation of the genotype 3. Allele –the different forms of a gene for a specific trait. Each parent contributes one allele. The two alleles combine to form the genotype for that trait. Letters are given to denote the allele e.g. E = earlobe attachment 4. Dominant and Recessive Alleles – the types of gene forms found. Alleles are described as dominant, recessive, codominant or partial. Dominant alleles completely “overshadow” the expression of the recessive alleles. Therefore the phenotype observed is controlled by the dominant allele. A dominant allele is denoted with a capital letter, the recessive allele with a lowercase letter. Codominant alleles and partial dominant allele do not completely hide the phenotype of the recessive allele. Another word for codominant alleles is blending 5. Homozygous – the two alleles are of the same form – e.g. EE or ee. Homozygous is another way of reporting the genotype of an individual. You may either be homozygous dominant or homozygous recessive 6. Heterozygous – the two alleles are of different forms – e.g. Ee. Heterozygous is another way of reporting the genotype of an individual Mendelian Genetics Problems Complete all genetics problems in your lab notebook. Be sure to show your work. I. Probability problems: Many genetics problems predict the likelihood that certain events will occur. This is done using probability. Probability values range from zero (event is impossible) to one (event is certain to occur). The probability of an event occurring is sometimes stated in advance from the nature of the event (apriori). This includes many types of genetic problems. To calculate the probability of an event, you must divide the expected frequency for that event by the total frequencies for all possible events. Furthermore, there are two rules of probability. The Product Rule states that the probability of two or more independent events occurring together (i.e. “this and that”) is the product of their independent probabilities. The formula for the product rule is: P(E*F) = P(E) * P(F) where P is the probability, E and F are the events that can occur and they can occur at the same time because the probability of E occurring has nothing to do with the probability of F occurring. For example, when picking cards from a deck of 52 cards, the probability of getting an ace is 4/52 = 1/13, because there are 4 aces among the 52 cards. The probability of picking a heart is 13/52 = 1/4. The probability of picking the ace AND it being a heart is 1/4*1/13 =1/52. The other is the Sum Rule which states that the probability of one of two mutually exclusive events (i.e. “either or” events) occurring is the sum of their individual probabilities. The formula for the sum rule is: P(A+B) = P(A) + P(B) where P is the probability, A and B are the events that can occur but A and B cannot occur simultaneously. For example, you want to calculate the probability of a person walking into a room being a student or a teacher. The two cannot walk into the room at the same time. So if the probability of a student walking into a room is 0.8 (P(A) = 0.8) and the probability of a teacher walking in is 0.1 (P(B) = 0.1), then the probability of the person walking into the room being either a teacher OR a student is 0.8 + 0.1 = 0.9. 1. A card is drawn from a deck of 52 cards. What is the probability the card: a. will be the ace of hearts? b. will be a king? c. will be a king or a seven? 2. In a single throw of two dice, what is the probability that: a. a seven will appear? b. a doublet (two of the same number) will appear? c. a doublet or an 8 will appear? d. an even number will appear? 3. A bag contains 6 blue marbles, 4 red marbles and 2 green marbles. If you select a single marble at random from the bag, what is the probability that it will be: a. red b. blue c. green d. white e. pink f. red or white g. green or white 4. If you toss a coin six times, what is the probability you will: a. get six heads b. get five heads and one tails c. get three tails and three heads d. get four heads and two tails II. Monohybrid problems: Monohybrid problems follow one trait between two generations. These traits are dominant, recessive or codominant. Parental genotypes, gamete genes and possible offspring genotypes usually need to be calculated a. The following steps are often useful in monohybrid crosses i. list the symbols for each trait ii. write down the parental genotypes iii. write down the possible gametes of each parent – i.e a Punnett square iv. determine all of the possible offspring genotypes – complete the Punnett square The following is an example of a Monohybrid cross problem. Give it a try and record your answers in your lab notebook QUESTION: If two heterozygous brown eyed parents have five children, what is the probability that three of them will have blue eyes? The allele for brown eyes can be denoted with the letter “B”, while blue eyes can be denoted with the letter “b”. Do the following with a Punnett square in your lab notebook: 1. In humans, six fingers (F) is the dominant trait and five fingers (f) is the recessive trait. Both parents are heterozygous for six fingers. What is the phenotype of the father and mother? What is the genotype for each parent? What is the probability of them having six-fingered children? Five fingered children? 2. If the father is heterozygous for six fingers and the mother has five fingers, what is the probability that their offspring will be six fingered? Five fingered? 3. In certain flowers, the genes for color inherited have incomplete dominance. In such flowers, a cross between a homozygous red and homozygous white flowering plants will always result in pink flowers. What is the probability of pink flowers appearing in the offspring of two pink parents? 4. Using the information above, a cross is made between a red flower and a pink flower. What are the genotypes and probabilities of the results offspring flowers? What is the probability of a pink flower appearing in the offspring of a pink and white parent? 5. The genes for freckles (F) is dominant over the gene for no freckles (f). Two freckled individuals produced six offspring. Four of them have freckles while the other two do not. What are the genotypes of the parents? The phenotypes? What are the genotypes of the children? 6. In humans, true brown eyes, B, are dominant over true blue eyes, b. A brown-eyed man has 8 children with a blue eyed woman. They are all brown eyed. What are the possible genotypes of all members of this family? 7. The parents of a blue-eyed man were brown eyed. He has children with a woman who had brown eyes. Her father was brown eyed and her mother was blue eyed. Their one child has blue eyes. What are the most probably genotypes of all the individuals mentioned? 8. A man and woman are both heterozygous for brown eyes. They have six children all of whom have blue eyes. How is this explained? What is the probability that their 7th child will have brown eyes? Or blue eyes? 9. In humans, the allele for tongue rolling (R) is dominant over the inability (r). If a man and woman are both heterozygous for tongue rolling, what is the probability that their child can roll his/her tongue? 10. If a man and woman are tongue rollers but each have one parent who couldn’t roll their tongue, what is the probability that they will have a child who can roll their tongue? 11. What is the genotypic ratio expected in the offspring of a cross between a male heterozygous for tongue rolling and a female heterozygous for this trait? 12. George and his father have brown eyes, while his mother and sister have blue eyes. George’s paternal grandparents both had brown eyes, while his maternal grandparents had blue eyes. George has children with Helen. Helen has brown eyes. Her father had blue eyes while her mother had brown eyes. Helen’s paternal grandparents had brown eyes, while one of her maternal grandparents had blue eyes. Draw a pedigree chart for this family. Determine all genotypes of all individuals. 13. Charlie decides to breed pigs. In pigs, hair color is either black, white, or tan. Tan hair coloring is a condition that results from being heterozygous. HINT: assume black is the dominant color. a. Isabel, Charlie’s black pig escapes from her pen one night. Some time later, she gives birth to a tan piglet and two black piglets. The color of what piglet tells the father’s color? b. Charlies mates Matty, who is tan, with Butch, who is white? What color piglets can he expect? c. Matty refuses to mate with Butch, so Charlies brings in Bas, who is tan. Matty ends up having four piglets, two black and two white. What are the expected piglets in this cross? Can you give a reason why the results do not follow what is expected? 14. Coin toss: a. b. c. d. e. f. Use a marker to mark one penny with the letter M for male and a second penny with the letter F for female. Heads on the pennies represents a dominant gene for brown eyes while tails represents the recessive gene for possible blue eyes. Flip the two pennies at the same time and record the genotype and phenotype of the offspring that results Continue step 3 until you have a total of 25 tosses Record your data in a table Calculate the genotypic and phenotypic ratios III. Dihybrid and Multihybrid crosses: Dihybrid problems follow two traits that are not on the same homologous chromosome pair. The Principle of Independent Assortment, another of Mendel’s principles, explains the observed ratios in these problems. According to this principle, genes are certain to separate from their allelic counterpart, but non-allelic gene associations occur randomly. It is now known that random assortment occurs for all genes not linked on the same homologous pair. Homologous pairs separate during meiosis, the chromosomes they assort with from the other pairs are random. Do the following problems in your lab notebook: 1. Coin toss: a. Use a marker to mark two pennies, one with M and the second with an F b. Use a marker to mark two nickels, one with M and the other with an F c. Heads on the penny is dominant for brown eyes, while tails is recessive for blue eyes d. Head on the nickel is dominant for freckles and tails is recessive for no freckles e. Flip the four coins at the same time and record the complete genotypes for the offspring that resulted f. Continue until you have a total of 25 tosses g. Record you data in a table in your lab notebook h. Calculate the genotypic and phenotypic ratios i. Explain your results using the Principle of Independent Assortment 2. Dihybrid problems: 1. In horses, black color (B), dominates chestnut (b). The trotting gait (T) dominates the pacing gate (t). A cross is made between a horse homozygous for black and pacing gait and a horse homozygous for chestnut and trotting gait. List the probably genotypes and phenotypes from offspring resulting from this cross. List the probable phenotypes of offspring that would result if the offspring from the original cross were crossed amongst themselves. 2. Humans have Rh+ or Rh- blood. A person with Rh+ has a certain type of protein in his blood and is considered the dominant trait. An Rh- person lacks this antigen and is recessive. Normal insulin production is dominant abnormal production (i.e. diabetes). If both parents are heterozygous for Rh+ blood and normal insulin production, what probably phenotypes would they produce in their offspring. 3. Using the above information, a father is homozygous for Rh+ blood but he has diabetes. The mother is Rh- and is homozygous for normal insulin production. What probable phenotypes would they produce in their children? 4. Using what you know about brown/blue eyes and freckles and no freckles, what is the probability of a man with the genotype Bb FF and his wife who has blue eyes and no freckles, having a blue eyed child with freckles? a. 0 b. 1/16 c. 1/8 d. 3/16 e. 1/4 f. 1/2 g. 3/4 h. 1.1 5. In dogs, black coloring is dominant and red color is recessive; solid coloring is dominant while white spotting is recessive. A homozygous black and white spotted make is crossed with a red and white spotted female. What is the probability of them producing a solid black puppy?