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Probability and Heredity 3:2 Just a little recap of Mendel’s experiments with pea plants • Evidently the F1 “tall” offspring must have been carrying the short trait, but it had been hidden. • The short trait had been passed down to the offspring and it reappeared in the F2 generation. Why did the recessive allele seem to disappear in the F1 generation and then reappear in the F2 generation • Mendel realized that organisms have two alleles for every trait. • These two alleles are inherited, one from each parent. • If the offspring receives a dominant allele from one parent, that dominant trait will appear in the offspring. • Recessive traits show up in the offspring only if the offspring receives recessive alleles from each parent. Gametes are: sex cells or egg and sperm cells. Remember: the capital letter, T, represents a dominant allele. The lower case letter, t, represents a recessive allele. In this way, a parent passes one allele for each gene to their offspring. During meiosis, the DNA is _replicated once and then goes through two separations to form _4 gametes . What Is Probability? Probability - a number that describes how likely it is that an event will occur. The laws of probability predict what is likely to occur, not what will occur. # of Tosses Probability of Heads Probability of Tails 1 50% 50% 20 50% 50% Probability Probability - a number that describes how likely it is that an event will occur. • The result of one toss will not affect the results of the other. • Each event occurs independently. Probability and Genetics Punnett square: a chart showing all the ways alleles can combine in a genetic cross. In a genetic cross, the combination of alleles that parents can pass to an offspring is based on probability. 1. The alleles of the male parent (or 1st parent mentioned) will be placed on top of the square. 2. The alleles of the female parent (or 2nd parent mentioned) will be placed along the left side of the square. 3. The possible gene combinations of the offspring are placed inside the squares. 6. A capital letter represents a dominant allele. 7. A lower case letter represents a recessive allele. 4. Letters represent the alleles. Probability and Genetics Copy the male parent’s alleles into the boxes beneath them. A completed Punnett square shows all the possible allele combinations the offspring can have. R R p p r P P p P p R P P p P p Hybrid cross Purebred cross Phenotype: The physical appearance of an organism, or its physical traits Genotype: The genetic combination of an organism or its alleles In Mendel’s pea plants, the tall allele was dominant over the short allele Genotype TT Tt tt Phenotype Tall Tall short Homozygous: An organism having two identical alleles for a trait Heterozygous: An organism having two different alleles for a trait In Mendel’s pea plants, the tall allele was dominant over the short allele Genotype TT Tt tt Phenotype Tall Tall short Phenotypes and Genotypes SS Homozygous Ss Heterozygous ss Homozygous Mendel began his experiments using purebred pea plants. Cross a purebred tall pea plant with a purebred short pea plant. What is the genotype of the first parent mentioned? TT What is the genotype of the second parent mentioned? tt Place the alleles of the first parent on the top of the square. Place the alleles for the second parent on the left side of the square. T T t Tt Tt t Tt Tt Fill in the Punnett square to show the possible combinations. What is the ratio of tall:short? 4:0 In the previous problem, none of the offspring will show the short trait. As we learned earlier, Mendel wondered what had happened to the short trait. He allowed the F1 generation to self-pollinate. Show this cross using the Punnett square below. What is the genotype of each parent. Tt x Tt T t T t TT Tt Tt tt TT Tall Tt Tall Short tt N N NN n Nn Normal skin(N) is dominant over albino skin (n). A woman who has normal skin, but whose father was albino, marries a heterozygous, normal skinned man. What type of offspring might they expect? Describe the probability of each genotype and phenotype in the data table. What is the genotype of the woman? Nn What is the genotype of the man? Nn % n What What What What What Nn nn Genotype Phenotype probability 25% NN Normal skin 50% Nn Normal skin 25% nn Albino skin are the possible genotypes? NN, Nn, nn are the possible phenotypes? Norman skin, Albino skin percentage of offspring are homozygous dominant? 25% percentage of offspring are heterozygous? 50% percentage of offspring are homozygous recessive? 25% Having dimples is dominant over the absence of dimples. Cross a heterozygous dimpled man with a woman who does not have dimples. Show all work in the Punnett square. Describe the probability of each genotype and phenotype in the data table. What is the genotype of the man? Dd D d d Dd Dd d What is the genotype of the woman? dd % dd dd Genotype Phenotype probability 50% Dd dimples 50% dd No dimples In dogs, the allele for short hair (B) is dominant over the allele for long hair (b). Two short haired dogs have a litter of puppies. Some of the puppies have short hair and some of the puppies have long hair. Describe the probability of each genotype and phenotype in the data table. What are the genotypes of the parents? Bb and Bb B b % Genotype Phenotype probability B b BB Bb Bb bb 25% BB Short hair 50% Bb Short hair 25% bb Long hair If the litter of puppies contained 12 pups, how many would you expect to have short hair? 9 pups or 75% How many would you expect to have long hair? 3 pups or 25%