chapter 3 lecture concepts of genetics tenth edition mendelian genetics

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Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

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Page 1: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Chapter 3 Lecture

Concepts of GeneticsTenth Edition

Mendelian Genetics

Page 2: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Chapter 3 Contents

3.1 Mendel Used a Model Experimental Approach to Study Patterns of Inheritance

3.2 The Monohybrid Cross Reveals How One Trait Is Transmitted from Generation to Generation

3.3 Mendel's Dihybrid Cross Generated a Unique F2 Ratio

3.4 The Trihybrid Cross Demonstrates That Mendel's Principles Apply to Inheritance of Multiple Traits

3.5 Mendel's Work Was Rediscovered in the Early Twentieth Century

Continued

Page 3: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Chapter 3 Contents

3.6 The Correlation of Mendel's Postulates with the Behavior of Chromosomes Provided the Foundation of Modern Transmission Genetics

3.7 Independent Assortment Leads to Extensive Genetic Variation

3.8 Laws of Probability Help to Explain Genetic Events

3.9 Chi-Square Analysis Evaluates the Influence of Chance on Genetic Data

3.10 Pedigrees Reveal Patterns of Inheritance of Human Traits

Page 4: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Who was Gregor Mendel

• The founder of modern genetics was an Austrian monk named Gregor Mendel.

• Mendel was in charge of the monastery garden, where he conducted research on garden peas.

Page 5: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Austria

Not Australia!!!G’day Mate!

Page 6: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Mendel

– Gregor Mendel discovered principles of genetics in experiments with garden garden pea plantspea plants

• Mendel showed that parents pass heritable factors to offspring

– What do we call heritable factors today?

• GenesGenes

Page 7: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

3.1 Mendel Used a Model Experimental Approach to Study

Patterns of Inheritance

Page 8: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.1

• Mendel used a model experimental approach to study patterns of inheritance

• Why did Mendel chose the garden pea as his model system?– it is easy to grow – it has true-breeding strains – it has controlled matings: self-

fertilization or cross-fertilization – it grows to maturity in one season – it has observable characteristics

with two distinct forms

Page 9: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.1

• Using 7 visible features, each with two contrasting traits and true-breeding strains, – Mendel kept accurate, quantitative

records of his experments

Page 10: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc. Figure 3.1

Page 11: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.1

• Unappreciated during his lifetime• Rediscovered in the turn of the century• Mendel's postulates were eventually

accepted as the basis for Mendelian, or transmission, genetics

Page 12: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

3.2 The Monohybrid Cross Reveals How One Trait Is Transmitted from

Generation to Generation

Page 13: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Terms to Know before moving on:

• Genes: Genetic information that codes for specific traits. Genes have specific loci on a chromosome.

• Diploid (2n)/haploid (n)• True-breeding: Inherit identical alleles

generation after generation• Hybrid: Offspring of a cross that has

inherited a pair of nonidentical alleles for a trait.

• Homozygous: Identical pair of Alleles (TT or tt)

• Heterozygous: Pair of different alleles for a gene (one allele to be tall (T) and one to be short (t)

Page 14: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Terms to Know before moving on:

• Dominant alleles are allele that will mask any recessive allele for the same trait. – Dominant alleles are represented with a

capital letter (tall = D)– Recessive alleles are represented with a

lowercase letter (short = d)

• Genotype refers to an individual’s particular genes.

• Phenotype refers to the individual’s observable or physical traits.

Page 15: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Gene loci

Homozygousfor thedominant allele

Dominantallele

Homozygousfor therecessive allele

Heterozygous

Recessive allele

Genotype:

P Ba

P

PP

a

aa

b

Bb

Page 16: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Do Now

• T=tall t=short• A pea plant has the genotype Tt.

– Which trait is dominant? Which is recessive?

– What is the individual’s phenotype? – Explain the individual’s genotype.– Could this plant be a true bred plant?

– Explain what big ‘T’ and little ‘t’ are actually representing. What are they made of? Where would you find them? How are they related to one another? How did the plant get them?

Page 17: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

What causes the plant to be tall

• gibberellin 3-beta-hydroxylase, a biosynthetic enzyme crucial to the division and elongation of the cells in the plant's stem

• 3β-hydroxylase which converts GA20 to GA1

• Tallness in pea plants is regulated by a gibberellin (active), GA1, which promotes stem growth. – Gibberellins had been discovered in the 1950s,

but it was not until the early 1980s that the group connected it to stem height.

CU and Australian scientists clone Mendel's historic pea-plant gene By Blaine P. Friedlander Jr.

Page 18: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

What is “T”?

• gibberellin 3-beta-hydroxylase - 358 AA

ATGCCTGCTATGTTAACAGATGTGTTTAGAGGCCATCCCATTCACCTCCCACACTCTCAC ATACCTGACTTCACATCTCTCCGGGAGCTCCCGGATTCTTACAAGTGGACCCCTAAAGAC GATCTCCTCTTCTCCGCTGCTCCTTCTCCTCCGGCCACCGGTGAAAACATCCCTCTCATC

GACCTCGACCACCCGGACGCGACTAACCAAATCGGTCATGCATGTAGAACTTGGGGTGCC TTCCAAATCTCAAACCACGGCGTGCCTTTGGGACTTCTCCAAGACATTGAGTTTCTCACC

GGTAGTCTCTTCGGGCTACCTGTCCAACGCAAGCTTAAGTCTGCTCGGTCGGAGACAGGT GTGTCCGGCTACGGCGTCGCTCGTATCGCATCTTTCTTCAATAAGCAAATGTGGTCCGAA GGTTTCACCATCACTGGCTCGCCTCTCAACGATTTCCGTAAACTTTGGCCCCAACATCAC CTCAACTACTGCGATATCGTTGAAGAGTACGAGGAACATATGAAAAAGTTGGCATCGAAA TTGATGTGGTTAGCACTAAATTCACTTGGGGTCAGCGAAGAAGACATTGAATGGGCCAGT CTCAGTTCAGATTTAAACTGGGCCCAAGCTGCTCTCCAGCTAAATCACTACCCGGTTTGT

CCTGAACCGGACCGAGCCATGGGTCTAGCAGCTCATACCGACTCCACCCTCCTAACCATT CTGTACCAGAACAATACCGCCGGTCTACAAGTATTTCGCGATGATCTTGGTTGGGTCACC GTGCCACCGTTTCCTGGCTCGCTCGTGGTTAACGTTGGTGACCTCTTCCACATCCTATCC AATGGATTGTTTAAAAGCGTGTTGCACCGCGCTCGGGTTAACCAAACCAGAGCCCGGTTA TCTGTAGCATTCCTTTGGGGTCCGCAATCTGATATCAAGATATCACCTGTACCGAAGCTG GTTAGTCCCGTTGAATCGCCTCTATACCAATCGGTGACATGGAAAGAGTATCTTCGAACA

AAAGCAACTCACTTCAACAAAGCTCTTTCAATGATTAGAAATCACAGAGAAGAATGA

Page 19: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Amino acid sequence• 10 20 30 40 50 60 • MPAMLTDVFR GHPIHLPHSH IPDFTSLREL PDSYKWTPKD DLLFSAAPSP

PATGENIPLI • 70 80 90 100 110 120 • DLDHPDATNQ IGHACRTWGA FQISNHGVPL GLLQDIEFLT GSLFGLPVQR

KLKSARSETG • 130 140 150 160 170 180 • VSGYGVARIA SFFNKQMWSE GFTITGSPLN DFRKLWPQHH LNYCDIVEEY

EEHMKKLASK• 190 200 210 220 230 240 • LMWLALNSLG VSEEDIEWAS LSSDLNWAQA ALQLNHYPVC PEPDRAMGLA

AHTDSTLLTI • 250 260 270 280 290 300 • LYQNNTAGLQ VFRDDLGWVT VPPFPGSLVV NVGDLFHILS NGLFKSVLHR

ARVNQTRARL • 310 320 330 340 350 • SVAFLWGPQS DIKISPVPKL VSPVESPLYQ SVTWKEYLRT KATHFNKALS MIRNHREE

Page 20: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Biosynthesis of GA1

• GA20 (inactive intermediate) - gibberellin 3-beta-hydroxylase GA1 (active growth protein)

Page 21: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

T vs. t, what does this really mean?

• Researchers have demonstrated that in the tall pea plants used by Mendel, the tallness gene codes for an enzyme (gibberellin 3-beta-hydroxylase) that adds a hydroxyl (OH) group at a very particular location onto GA20, which is the is the immediate precursor of GA1.

• In the dwarf plants there is a change of one base in the DNA sequence, which leads to a change of one amino acid in the resulting protein. In turn, this results in an enzyme that is still active in converting GA20 into GA1, but at 1/20th the rate. – Therefore, dwarf peas are less efficient

at synthesizing the gibberellin responsible for promoting stem growth. The plant becomes growth deficient.

Page 22: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

What is “T”?

• Dwarf peas have a defective 3β-hydroxylase which converts GA20 to GA1. This conversion makes an inactive GA into an active GA. This explains why the dwarf plants are dwarf...they lack appreciable active GA.

• Spraying such dwarf peas with gibberellic acid (GA3 an active GA) can result in pea plants of normal height.

Page 23: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics
Page 24: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Genes & Alleles

• In genetic crosses:• Each original pair of plants is the P

(parental) generation.

• The offspring are called the F1, or “first filial,” generation.

Page 25: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Genes & Alleles

• The FF11 hybrid plants all had the character of only only one of the parents.• In each cross the other parent’s trait

seemed to have disappeared

Page 26: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Genes & Alleles

Mendel’s F1 Crosses on Pea Plants

Page 27: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Genes & Alleles

Mendel’s F1 Crosses on Pea Plants

Page 28: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Genes & Alleles

• Mendel's first conclusion was that biological inheritance is determined by factors that are passed from one generation to the next.• Today, scientists call the factors that

determine traits genesgenes.

Page 29: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Genes and Alleles

• Genes are sections of a chromosome that code for a trait.• Most organisms have two copies of

every gene and chromosome, one from each parent.

Page 30: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Genes and Alleles

• Each of the traits Mendel studied was controlled by one gene that occurred in two contrasting forms that produced different characters for each trait.

• The different forms of a gene are

called alleles. • Certain alleles can hide or dominate

over other alleles.

Page 31: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.2

• Mendel's monohybrid crosses were not sex dependent

• Because it did not matter if the trait came from males or females, it is called a reciprocal cross

Page 32: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.2

• Mendel proposed three postulates of inheritance: – Unit factors (genes) exist in pairs– In the pair of unit factors for a single

characteristic in an individual, one unit factor is dominant and the other is recessive

– The paired unit factors segregate (separate) independently during gamete formation

Page 33: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.2• The parental plants are

the P generation

• Their hybrid offspring are the F1 generation

• A cross of the F1 plants forms the F2 generation

Page 34: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.2

• For each characteristic, an organism inherits two alleles, one from each parent; the alleles can be the same or different

– A ______________ genotype has identical alleles

– A ______________ genotype has two different alleles

homozygous

heterozygous

Page 35: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.2

• Review of Mendel's first three postulates

• Unit factors in pairs– Genetic characters are controlled by unit

factors existing in pairs in individual organisms

• Dominance/Recessiveness– In the pair of unit factors for a single

characteristic in an individual, one unit factor is dominant and the other is recessive

Page 36: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.2

• Segregation– The paired unit factors segregate

(separate) independently during gamete formation

Page 37: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Modern Genetic Terminology

• Genes are found in alternative versions called _____________; a genotype is the listing of alleles an individual carries for a specific gene

• The ___________ is the genetic makeup of an individual

• The ____________ is the physical expression of the genetic makeup

alleles

genotype

phenotype

Page 38: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.2

• A Punnett square allows the genotypes and phenotypes resulting from a cross to be visualized easily (Figure 3.3)

Page 39: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc. Figure 3.3

Page 40: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Geneticists use the testcross to determine unknown genotypes

– Testcross• Mating between an unknown

genotype and a homozygous recessive individual– Will show whether the unknown

genotype includes a recessive allele– Used by Mendel to confirm true-breeding

genotypes

Page 41: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

B_

or

Two possibilities for the black dog:

Testcross:

Genotypes

Gametes

Offspring 1 black : 1 chocolateAll black

Bb

bb

BB

Bb bb

B

b

Bb

b

bB

Page 42: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc. Figure 3.4

Page 43: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

1. If purple is dominant to white, show a cross between a homozygous Dominant purple flower with a white flower.

2. Show a cross of the F1 generation.3. What is the genotypic ratio of the F2?4. What is the phenotypic ratio of the F2?5. What percentage of the total offspring

would one expect to be purple?6. What percentage of the purple flowers

would one expect to be heterozygous.

Page 44: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

P plants

1–2

1–2

Genotypic ratio1 PP : 2 Pp : 1 pp

Phenotypic ratio3 purple : 1 white

F1 plants(hybrids)

Gametes

Genetic makeup (alleles)

All

All Pp

Sperm

Eggs

PP

p

ppPp

Pp

P

pP

pP

P

p

PP pp

All

Gametes

F2 plants

Page 45: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

– Gametes are also known as

• genes.• sex cells. • alleles.• hybrids.

Review

Page 46: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

–The offspring of crosses between parents with different traits are called •alleles.•hybrids.•gametes.•dominant.

Review

Page 47: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

– In Mendel’s pea experiments, the male gametes are the•eggs.•seeds.•pollen.•sperm.

Review

Page 48: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

– In a cross of a true-breeding tall pea plant with a true-breeding short pea plant, the F1 generation consists of•all short plants.•all tall plants.•half tall plants and half short plants.

•all plants of intermediate height.

Review

Page 49: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

– If a particular form of a trait is always present when the allele controlling it is present, then the allele must be

•dominant.

Review

Page 50: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Review

• A form of a gene that is not expressed when paired with a dominant allele is called a ______________________recessive allele

Page 51: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Review

• Sections of chromosomes that code for a trait are called ______________________genes

Page 52: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Review

• Organisms usually get one copy of each gene from each parent. The different forms of the same gene are called ______________________alleles

Page 53: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

3.3 Mendel's Dihybrid Cross Generated a Unique F2 Ratio

Page 54: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.3

• Mendel's dihybrid cross generated a unique F2 ratio

• A dihybrid cross involves two pairs of contrasting traits (Figure 3.5)

Page 55: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc. Figure 3.5

Page 56: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc. Figure 3.6

• The product law can be used to predict the frequency with which two independent events will occur simultaneously

Page 57: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc. Figure 3.7

Page 58: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.3

• Mendel's fourth postulate: Independent assortment

• Mendel's fourth postulate states that– traits assort independently during

gamete formation– all possible combinations of gametes

will form with equal frequency

Page 59: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

3.4 The Trihybrid Cross Demonstrates That Mendel's Principles Apply to

Inheritance of Multiple Traits

Page 60: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.4

• The trihybrid cross demonstrates that mendel's principles apply to inheritance of multiple traits

• Trihybrid crosses involving three independent traits show that Mendel's rules apply to any number of traits

Page 61: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Section 3.4 The forked-line method, or branch diagram

• The forked-line (branched diagram) method is easier to use than a Punnett square for analysis of inheritance of larger number of traits

Page 62: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.4

Figure 3.8

Page 63: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.4

• Some simple mathematical rules shown in Table 3.1 apply in working genetics problems

Page 64: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc. Table 3.1

Page 65: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

3.5 Mendel's Work Was Rediscovered in the Early Twentieth Century

Page 66: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.5 The chromosomal theory of inheritance

• The chromosomal theory of inheritance proposed that the separation of chromosomes during meiosis could be the basis for Mendel's principles of segregation and independent assortment

Page 67: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Explaining Mendelian Genetics

Figure 3.10a

Page 68: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Explaining Mendelian Genetics

Figure 3.10b

Page 69: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Explaining Mendelian Genetics

Figure 3.10c

Page 70: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc. Figure 3.10

Page 71: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

3.7 Laws of Probability Help to Explain Genetic Events

Page 72: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.7

• Laws of probability help to explain genetic events

• A major consequence of independent assortment is the production of genetically dissimilar gametes

• Genetic variation results from independent assortment and is very important to the process of evolution

Page 73: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.7

• The probability of two independent events occurring at the same time can be calculated using the product law

• The probability of both events occurring is the product of the probability of each individual event

Page 74: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Flip a coin

• What are the chance of a coin landing on heads? On tails?

• The chance, or probability, of either outcome is equal. Therefore, the probability that a single coin flip will land heads up is 1 chance in 2. This amounts to 1/2, or 50 percent.

Page 75: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Flip a coin

– Each coin flip is an independent event, with a one chance in two probability of landing heads up.

– With that in mind, if you flip a coin three times in a row, what is the probability that it will land heads up every time?

1/2 × 1/2 × 1/2 = 1/8

Page 76: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.7

• The sum law is used to calculate the probability of a generalized outcome that can be accomplished in more than one way

• The sum law states that the probability of obtaining any single outcome, where that outcome can be achieved in two or more events, is equal to the sum of the individual probabilities of all such events

Page 77: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.7

• When one event depends on another, the likelihood of the desired outcome is the conditional probability

Page 78: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.7 The binomial theory

• The binomial theorem can be used to calculate the probability of any specific set of outcomes among a large number of potential events

Page 79: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

3.8 Chi-Square Analysis Evaluates the Influence of Chance on Genetic Data

Page 80: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.8: Chi-Square analysis evaluates the influence of chance on genetic data• Chance deviation from an

expected outcome is diminished by larger sample size

Page 81: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Chi Square Analysis

X2= ∑• O = Observed• E = Expected• ∑ = The sum of• X2 = Chi Square Value

(O-E)2

E

Page 82: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.8: Chi-Square Calculations and Null Hypothesis

• When we assume that data will fit a given ratio, we establish what is called the null hypothesis—so named because it assumes that there is no real difference between the measured values (or ratio) and the predicted values (or ratio)

• The apparent difference can be attributed purely to chance

Page 83: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Try This

• 50% of the students population at EHTHS is male, and 50% is female. Based on this information, for a class of our size, what would the expected number of male and female students be?

• Create a null hypothesis:

© 2012 Pearson Education, Inc.

There is no real difference between the male to female ratio in our class compared

to the general population and that any difference is due solely to chance..

Page 84: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Solve for X2

© 2012 Pearson Education, Inc.

X2= ∑• O = Observed• E = Expected• ∑ = The sum of• X2 = Chi Square Value

• Males O = ___• Males E = ___• Females O = ___• Females E = ___

(O-E)2

E

(Omale-Emale)2

Emale

(Ofemale-Efemale)2

EfemaleX2=

Page 85: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.8

• Chi-square (2) analysis is used to test how well the data fit the null hypothesis

• Table 3.3 shows the steps in 2 calculations for the F2 generation of a monohybrid cross

Page 86: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc. Table 3.3

Page 87: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.8

• Chi-square analysis requires that the degree of freedom (df) be taken into account, since more deviation is expected with a higher degree of freedom (Figure 3.11)

• The degree of freedom is equal to n – 1, where n is the number of different categories into which each datum point may fallWhat are we looking at and what are the possible outcomes we could observe? How many categories? What is our degree of freedom?

Male or female, 2 categoriesdf = n-1df = 2-1 = 1

Page 88: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc. Figure 3.11

Page 89: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.8

• Once the number of degrees of

freedom is determined, the 2 value can be interpreted in terms of a corresponding probability value (p)

Page 90: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc. Figure 3.11

Page 91: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Conclusion

© 2012 Pearson Education, Inc.

Page 92: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

3.9 Pedigrees Reveal Patterns of Inheritance of Human Traits

Page 93: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.9

• Pedigrees reveal patterns of inheritance of human traits

• A pedigree shows a family tree with respect to a given trait. Pedigree analysis reveals patterns of inheritance

Page 94: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc. Figure 3.12

Page 95: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

Section 3.9 Pedigree conventions

• Parents are connected by a single horizontal line, and vertical lines lead to their offspring

• If the parents are related (consanguineous), such as first cousins, they are connected by a double line

• Offspring are called sibs (siblings) and are connected by a horizontal sibship line

Page 96: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.9

• Twins are indicated by diagonal lines stemming from a vertical line connected to the sibship line

• For identical (monozygotic) twins, the diagonal lines are linked by a horizontal line

• Fraternal (dizygotic) twins lack this connecting line

Page 97: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc. Figure 3.13

Tell me something about I-3 or I-4

Page 98: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

Section 3.9

• Pedigree analysis• Pedigree analysis of human traits has

been an extremely valuable tool in human genetic studies (see Table 3.4 for some examples of human traits for which pedigree analysis is very useful)

Page 99: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc. Table 3.4

Page 100: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

If the green pea pod allele (G) is dominant to the yellow allele (g), a cross between two heterozygous plants would be expected to produce _____.

a) all green

b) 1/4 green and 3/4 yellow

c) 1/2 green and 1/2 yellow

d) 3/4 green and 1/4 yellow

e) all yellow

Page 101: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

If the green pea pod allele (G) is dominant to the yellow allele (g), a cross between two heterozygous plants would be expected to produce _____.

d)3/4 green and 1/4 yellow

The cross is expected to produce offspring in the genotypic proportions of 1/4 GG, 2/4 Gg, and 1/4 gg. Since G is dominant to g, 1/4 GG and 2/4 Gg = 3/4 green and 1/4 gg is yellow.

Page 102: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

© 2012 Pearson Education, Inc.

If a mouse has a dominant phenotype (P-), how would you determine if it is homozygous (PP) or heterozygous (Pp)?a) Cross it to a homozygous dominant mouse.b) Cross it to a mouse with the dominant trait but a

similarly unknown genotype.c) Cross it to a mouse with the recessive trait.d) Cross it to a heterozygous dominant mouse.e) It cannot be determined.

Page 103: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

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If a mouse has a dominant phenotype (P-), how would you determine if it is homozygous (PP) or heterozygous (Pp)?c)Cross it to a mouse with the recessive trait.

In order to identify an unknown genotype, one performs a testcross, which is a cross to a homozygous recessive individual. If there are many offspring, all with the dominant phenotype, the tested mouse is homozygous dominant. If some offspring have the recessive trait (half would be expected), the tested mouse is heterozygous.

Page 104: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

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In a cross between two individuals BbGG X Bbgg, what ratio of phenotypes would be expected in the offspring if the two genes show independent assortment?a) 1:2:1b) 9:3:3:1c) 1:1d) 3:1 e) 2:1

Page 105: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

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In a cross between two individuals BbGG X Bbgg, what ratio of phenotypes would be expected in the offspring if the two genes show independent assortment?d) 3:1

While we are looking at two genes, the "G" locus cross is GG x gg. The resultant offspring will all be Gg, and have the dominant phenotype. As a result, only theBb x Bb cross contributes to the variation.P BbGG X BbggGametes 1/2 BG, 1/2 bG 1/2 Bg, 1/2 bg

F1 1/4 BBGg, 1/4 BbGg, 1/4 bBGg, 1/4 bbGg

3 B-Gg1 bbGg

Page 106: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

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What is the probability that two parents who are heterozygous for the recessive trait of albinism will have two albino offspring?

a) 1/2

b) 1/4

c) 1/8

d) 1/16

e) 1/32

Page 107: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

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What is the probability that two parents who are heterozygous for the recessive trait of albinism will have two albino offspring?

d)1/16

For each birth, the probability that the couple will have a homozygous recessive child is 1/4. Using the product law, the probability of having two such offspring is1/4 1/4 1/16.

Page 108: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

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How many different types of gametes can be formed by the genotype AaBbCc?

a) 3b) 4c) 8d) 16e) 32

Page 109: Chapter 3 Lecture Concepts of Genetics Tenth Edition Mendelian Genetics

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How many different types of gametes can be formed by the genotype AaBbCc?c) 8

First, you must determine the number of different heterozygous gene pairs (n) involved. Once n is determined, 2n is the number of different gametes that can be formed. Here, there are three heterozygous genes, so the correct formula is 23 = 8.The possible gametes areP genotype AaBbCc

Gametes ABC ABc AbC Abc aBC aBc abC abc