Answers to Genetics Problems

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Answers to Genetics Problems

ONE GENE CROSSES:

1.

R = red, r = white a.

The parental cross: RR x rr b.

The gametes: RR can produce Ⓡ or Ⓡ, rr can produce ⓡ or ⓡ c.

Punnett Square:

R R r r

Rr Rr

Rr Rr d.

Genotypic ratio: 0:4:0 (100% heterozygous) e.

Phenotypic ratio: 4:0 (100% red)

2.

R = red, r = white a.

The F

1

cross: Rr x Rr b.

The gametes: Rr can produce Ⓡ or ⓡ, Rr can produce Ⓡ or ⓡ c.

Punnett Square:

R r

R RR Rr r Rr rr d.

Genotypic ratio: 1:2:1 (25% homozygous dom., 50% heterozygous, 25% homozygous rec.) e.

Phenotypic ratio: 3:1 (75% red, 25% white)

3.

This is an example of a TEST CROSS , R = red, r = white a.

The cross: Rr x rr b.

The gametes: Rr can produce Ⓡ or ⓡ, rr can produce ⓡ or ⓡ c.

Punnett Square:

R r r Rr rr r Rr rr d.

Genotypic ratio: 0:2:2 (0% homozygous dom., 50% heterozygous, 50% homozygous rec.) e.

Phenotypic ratio: 2:2 (50% red, 50% white)

Although in the problem you were given that the red parent was heterozygous, this parent would appear the same as a homozygous dominant parent (i.e. they would both be red). The fact that some of the offspring could be white when the red parent is crossed with the white parent provides evidence that the red parent is heterozygous if any of the offspring are, in fact, white. If all offspring are red, the red parent could be either homozygous dominant or heterozygous.

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4.

G = gray-bodied, g = black-bodied a.

The cross: Gg x gg b.

The gametes: Gg can produce Ⓖ or ⓖ, gg can produce ⓖ or ⓖ c.

Punnett Square:

G g g Gg gg g Gg gg d.

Genotypic ratio: 0:2:2 (0% homozygous dom., 50% heterozygous, 50% homozygous rec.) e.

Phenotypic ratio: 2:2 (50% gray-bodied, 50% black-bodied) f.

Of 100 offspring, 50 are expected to have black bodies (50% of 100 offspring)

5.

The brown parent is heterozygous (Bb) and the albino parent is homozygous recessive (bb). a.

The cross: Bb x bb b.

The gametes: Bb can produce Ⓑ or ⓑ, bb can produce ⓑ or ⓑ c.

Punnett Square:

B b b Bb bb b Bb bb d.

Genotypic ratio: 0:2:2 (0% homozygous dom., 50% heterozygous, 50% homozygous rec.) e.

Phenotypic ratio: 2:2 (50% brown, 50% albino) f.

This is the only cross between brown and albino parents that can result in some of the offspring being brown and other offspring being albino phenotype. The albino parent must be homozygous recessive (that is the only way the recessive trait appears). The brown parent could have been homozygous dominant or heterozygous. However, if this parent were homozygous dominant, only brown offspring are possible. Since the problem states that some offspring were brown and others were albino, the brown parent must be heterozygous. This problem provides an example of a TEST CROSS.

6.

R = can roll tongue, r = cannot roll tongue a.

Both parents must be heterozygous (Rr) for tongue-rolling and their son must be homozygous recessive (rr).

The cross Rr x Rr is the only combination of two parents with the dominant phenotype (i.e. both can roll their tongues) where their offspring could show the recessive phenotype.

Punnett Square:

R r

Phenotypic ratio: 3:1

(75% tongue-roller, 25% non-tongue roller)

R RR Rr r Rr rr b.

The probability of the next child (or any subsequent children) being a non-tongue roller is

25% , as predicted by the Punnett square, above.

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7.

This problem illustrates a form of intermediate inheritance called incomplete dominance. The intermediate trait (in this case short-tailed) is a blend of the two extreme traits (long-tailed and tailless) and results from the inheritance of the two contrasting alleles for the extreme traits.

L = allele for long-tailed

N = allele for tailless

Note that two different, capital letters are used to represent the alleles since neither is dominant over the other.

A cat with the genotype: LL has a long tail

LN has a short tail

NN has no tail a.

The parental cross: LL x NN b.

The gametes: LL can produce Ⓛ or Ⓛ, NN can produce Ⓝ or Ⓝ c.

Punnett Square:

L L

N LN LN

N LN LN d.

As predicted by the Punnett square, above, the problem states that all of the F

1

offspring have short tails. e.

The F

1

cross: LN x LN f.

The gametes: LN can produce Ⓛ or Ⓝ, LN can produce Ⓛ or Ⓝ g.

Punnett Square:

L N

L LL LN

N LN NN h.

According to the Punnett square, above, we expect that 25% of the kittens will have long tails,

50% will have short tails, and 25% will be tailless. The problem states that kittens of each of these phenotypes resulted from the F

1

cross.

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TWO GENE CROSSES

Keys for two gene crosses (the actual letters used to represent alleles will vary with each problem)

A = Dominant allele for the first trait considered, a = recessive allele for the first trait considered

B = Dominant allele for the second trait considered, b = recessive allele for the second trait considered

Genotypic ratio: AABB : AABb : AaBB : AaBb : AAbb : Aabb : aaBB :aaBb : aabb

Phenotypic ratio: Dominant/Dominant : Dominant/recessive : recessive/Dominant : recessive/recessive

8.

B = Brown, b = blonde, C = Curly, c = straight a.

The parental cross: BBCC x bbcc

The possible gametes produced by each parent are determined using the principle of independent assortment (FOIL): BBCC can produce BC or BC or BC or BC bbcc can produce bc or bc or bc or bc

Punnett Square:

BC BC BC BC bc BbCc BbCc BbCc BbCc bc BbCc BbCc BbCc BbCc bc BbCc BbCc BbCc BbCc bc BbCc BbCc BbCc BbCc

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Genotypic ratio: 0:0:0:16:0:0:0:0:0 (100% dihybrid)

Phenotypic ratio: 16:0:0:0 (100% Brown/Curly) b.

The parental cross: BBcc x bbCC

The possible gametes produced by each parent are determined using the principle of independent assortment (FOIL): BBcc can produce Bc or Bc or Bc or Bc bbCC can produce bC or bC or bC or bC

Punnett Square:

Bc Bc Bc Bc bC BbCc BbCc BbCc BbCc bC BbCc BbCc BbCc BbCc bC BbCc BbCc BbCc BbCc bC BbCc BbCc BbCc BbCc

Genotypic ratio: 0:0:0:16:0:0:0:0:0 (100% dihybrid)

Phenotypic ratio: 16:0:0:0 (100% Brown/Curly)

Continued on page 5…

Question 8 continued: c.

The parental cross: BbCc x BbCc This is a DIHYBRID CROSS

The possible gametes produced by each parent are determined using the principle of independent assortment (FOIL): BbCc can produce BC or Bc or bC or bc

BbCc can produce BC or Bc or bC or bc

Punnett Square:

BC Bc bC bc

BC BBCC BBCc BbCC BbCc

Bc BBCc BBcc BbCc Bbcc bC BbCC BbCc bbCC bbCc bc BbCc Bbcc bbCc bbcc

Genotypic ratio: 1:2:2:4:1:2:1:2:1

Phenotypic ratio: 9:3:3:1 d.

The parental cross: BbCc x bbcc This is a dihybrid TEST CROSS

The possible gametes produced by each parent are determined using the principle of independent assortment (FOIL): BbCc can produce BC or Bc or bC or bc

Punnett Square: bbcc can produce bc or bc or bc or bc

BC Bc bC bc bc BbCc Bbcc bbCc bbcc bc BbCc Bbcc bbCc bbcc bc BbCc Bbcc bbCc bbcc bc BbCc Bbcc bbCc bbcc

Genotypic ratio: 0:0:0:4:0:4:0:4:4

Phenotypic ratio: 4:4:4: 4 For a dihybrid test cross, If all 4 possible phenotype combinations occur in offspring, then the parent showing the dominant phenotype for both traits that you are looking at is heterozygous for both traits.

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9.

T = Tall, t = short, Y = Yellow seed, y = green seed a.

The parental cross: TTYY x ttyy

The possible gametes produced by each parent are determined using the principle of independent assortment (FOIL): TTYY can produce TY or TY or TY or TY ttyy can produce ty or ty or ty or ty

Punnett Square:

TY TY TY TY ty TtYy TtYy TtYy TtYy ty TtYy TtYy TtYy TtYy ty TtYy TtYy TtYy TtYy ty TtYy TtYy TtYy TtYy

Genotypic ratio: 0:0:0:16:0:0:0:0:0 (100% dihybrid) b.

The F

1

cross: TtYy x TtYy This is a DIHYBRID CROSS

The possible gametes produced by each parent are determined using the principle of independent assortment (FOIL): TtYy can produce TY or Ty or tY or ty

TtYy can produce TY or Ty or tY or ty

Punnett Square:

TY Ty tY ty

TY TTYY TTYy TtYY TtYy

Ty TTYy TTyy TtYy Ttyy tY TtYY TtYy ttYY ttYy ty TtYy Ttyy ttYy ttyy

Phenotypic ratio: 9:3:3:1 9/16 or 56.25% Tall/Yellow-seeded

3/16 or 18.75% Tall/green-seeded

3/16 or 18.75% short/Yellow-seeded

1/16 or 6.25% short/green-seeded

Assuming the ideal ratio: If 90 are Tall/Yellow-seeded, then there are 160 offspring total (90 is 9/16 of 160). That means that we should expect that 10 offspring will be short/green-seeded (10 is 1/16 of

160).

10.

B = Black fur, b = white fur, E = Black eyes, e = pink eyes a.

The parental cross must be: bbee X BbEe b.

The father of this litter must be dihybrid (BbEe) because this is the only genotype that, when crossed with bbee (the mother’s genotype) can result in all the phenotypic combinations displayed by the offspring.

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11.

T = Long tail, t = short tail, C R = Red coat, C W = White coat (R and r, as the problem states, are not preferred since this trait provides an example of codominance, not complete dominance). If you used R and r, no problem, but correct this in the future. For codominance, we use a capital letter with different capital letter superscripts to represent different alleles for the codominant trait.

The long-tailed/roan bull is TtC R C W . We know that he is heterozygous for tail length because his cross with cow A resulted in a calf with a short tail. a.

Cow A: ttC b.

Cow B: ttC

W C

R c.

Cow C: TtC

C

R

W

W

C R

, the calf of cow A: ttC R C W .

, the calf of cow B: TtC R C R .

, the calf of cow A: ttC R C R .

12.

Follow the product rule of probability. Start by determining the probability of exhibiting the dominant phenotype for each separate trait using Punnett squares. For each trait, the probability of the dominant phenotype is: a.

Aa x Aa probability: 3/4 b.

Bb x bb probability: 2/4 c.

Cc x CC probability: 4/4 d.

dd x Dd probability: 2/4 e.

Ee x EE probability: 4/4 f.

Multiply these five fractions to determine the probability of all five events occurring simultaneously: 192/1024 = 3/16 = 18.75%

LINKED GENES

13.

For linked genes, treat the letters with the bar above them as if they are one symbol. Because the alleles represented by these letters are on the same chromosome, they cannot assort independently. a.

The parental cross: BW BW x bw bw

BW BW can produce BW or BW The gametes: bw bw can produce bw or bw

Punnett Square:

____

BW

____

BW

___ bw

___ bw

___ ___

BW bw

___ ___

BW bw

___ ___

BW bw

___ ___

BW bw

Phenotypic Ratio Key: Gray/Normal : Gray/stumpy : black/Normal : black/stumpy

Phenotypic ratio: 4:0:0:0 (100% Gray-bodied/Normal wings)

The remaining crosses are solved in the same manner. b.

Phenotypic ratio: 3:0:0:1 c.

Phenotypic ratio: 2:0:0:2

(75% Gray/Normal, 25% black/stumpy)

(50% Gray/Normal, 50% black/stumpy) d.

Phenotypic ratio: 4:0:0:0 (100% Gray-bodied/Normal wings)

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14.

The order of alleles on the chromosome is: B-C-A-D (or D-A-C-B)

B 10% C 15% A 15% D

GENE INTERACTIONS

15.

This problem serves as one example of EPISTASIS - one gene alters the expression of another gene.

The problem indicates that the genes for pigmentation and pigment distribution are linked (note the line over the gametes). a.

The parental cross must have been: Cs Cs x cS cS b.

The offspring of this cross (the F c.

The F

1

cross: Cs cS x Cs cS d.

Punnett Square:

1

’s) would all be: Cs cS (100% striped, as stated)

____

Cs

____ cS

___

Cs

___ cS

___ ___

Cs Cs

___ ___

Cs cS

___ ___

Cs cS

___ ___ cS cS

Phenotypic Ratio Key: Black stripes : Black : white e.

Phenotypic ratio: 2:1:1 (50% Black stripes, 25% Black, 25% white)

16.

This problem serves as one example of a type of EPISTASIS called COMPLIMENTARY GENES .

In this case, the cellular products of two separate genes work together to contribute to the same trait. a.

The F

1

cross: CcPp x CcPp This is a DIHYBRID CROSS

The possible gametes produced by each parent are determined using the principle of independent assortment (FOIL): CcPp can produce CP or Cp or cP or cp

CcPp can produce CP or Cp or cP or cp

Punnett Square:

CP Cp cP cp

CP CCPP CCPp CcPP CcPp

Cp CCPp CCpp CcPp Ccpp cP CcPP CcPp ccPP ccPp cp CcPp Ccpp ccPp ccpp

Phenotypic ratio: 9:7 9/16 or 56.25% Purple

7/16 or 43.75% white

Remember: the plant must have a dominant C and a dominant P in order to be purple.

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17.

This problem serves as one example of a type of EPISTASIS called COLLABORATION - two genes interact to give four distinct phenotypes depending on the combination inherited. a.

The parental cross: Bbyy x bbYy

The possible gametes produced by each parent are determined using the principle of independent assortment (FOIL): Bbyy can produce By or By or by or by bbYy can produce bY or by or bY or by

Punnett Square:

By By by by bY BbYy BbYy bbYy bbYy by Bbyy Bbyy bbyy bbyy bY BbYy BbYy bbYy bbYy by Bbyy Bbyy bbyy bbyy

Phenotypic Ratio Key: Blue : Yellow : Green : White b.

Phenotypic ratio: 4:4:4:4 (25% Blue, 25% Yellow, 25% Green, 25% White)

18.

This problem serves as a simple example of POLYGENIC INHERITANCE- an additive effect of two or more separate genes on a single phenotype. a.

The parental cross: AaBb x AaBb This is a DIHYBRID CROSS

The possible gametes produced by each parent are determined using the principle of independent assortment (FOIL): AaBb can produce AB or Ab or aB or ab

AaBb can produce AB or Ab or aB or ab

Punnett Square:

AB Ab aB ab

AB AABB AABb AaBB AaBb

Ab AABb AAbb AaBb Aabb aB AaBB AaBb aaBB aaBb ab AaBb Aabb aaBb aabb

Phenotypic Ratio Key: Red : Dark : Medium : Light : White b.

Phenotypic ratio: 1:4:6:4:1 1/16 or 6.25% Red

4/16 or 25% Dark

6/16 or 37.5 % Medium

4/16 or 25% Light

1/16 or 6.25% White

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ALLELE INTERACTIONS: Multiple Alleles and Intermediate Inheritance

19.

Although the representation of alleles in the problem set will work, the preferred way to represent the alleles for human blood groups is I A , I B , and i, since this trait shows BOTH codominance and multiple alleles. a.

The parental cross: I A i x I B i

Punnett Square:

I B I A

I A

I B I i

B i i I A i ii

Each child of this couple could have type A, type B, type AB, or type O blood. b.

It is possible for a type A woman and a type B man can have a child with type O blood if both the man and woman are heterozygous for their respective blood types. This is demonstrated in the Punnett square, above. However, if the man’s parents were both type AB, then the man must be homozygous B (I B I B ) since his parents do not possess a recessive allele (i) to pass on to him.

In this case, the man could not have a child with type O blood. Case dismissed.

20.

C B = Black allele, C c = chocolate allele, c g = golden allele

The parental cross: C B c g x C c c g a.

C B c g is a black lab, C c b.

Punnett square: c g is a chocolate lab

Genotypic Ratio Key:

Genotypic ratio:

Phenotypic Ratio Key:

Phenotypic ratio:

C B c g

C c C B C c C c c g c g C B c g c g c g

C B C B : C B C c : C B c g : C c C c : C c c g : c g c g

0 : 1 : 1 : 0 : 1 : 1

Black : Chocolate : Golden

2 : 1 : 1 (50% Black, 25% Choc., 25% Golden)

SEX LINKAGE

21.

If a sex-linked trait is due to a recessive allele, a female will express the recessive phenotype only if she is homozygous recessive, X r X r . A cross between a heterozygous (carrier) female and a recessive male can produce female offspring with the recessive phenotype, demonstrating that the trait is recessive.

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22.

X B = normal X-chromosome, X a.

The parental cross: X b

B

= defective X-chromosome,Y = normal Y-chromosome

Y x X b X b b.

Punnett square:

X b X b

X B X B X b X B X b

Y X b Y X b Y c.

The probability of their son(s) being colorblind is 100% d.

The probability of their daughter(s) being colorblind is 0%

AUTOSOMAL AND SEX-LINKED RECESSIVE TWO GENE CROSSES

23.

C = curly, c = straight,

X B = normal X-chromosome, X b = defective X-chromosome,Y = normal Y-chromosome

The cross between the now happily married man and woman: CcX b Y x ccX B X b

Punnett Square: cX B cX b cX B cX b

CX b CcX B X b CcX b X b CcX B X b CcX b X b

CY CcX B Y CcX b Y CcX B Y CcX b Y cX b ccX B X b ccX b X b ccX B X b ccX b X b cY ccX B Y ccX b Y ccX B Y ccX b Y a.

Probability of a curly-haired/normal visioned child: 4/16 (25%) b.

Probability of a straight-haired/colorblind child: 4/16 (25%) c.

Probability of a curly-haired/colorblind daughter: 2/16 (12.5%)

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24.

A = Blind from aniridia, a = normal vision,

X H = normal X-chromosome, X h = defective X-chromosome,Y = normal Y-chromosome

The cross between the couple:

Punnett Square:

AaX H Y x aaX H X h aX H aX h aX H aX h

AX H AaX H X H AaX H X h AaX H X H AaX H X h

AY AaX H Y AaX h Y AaX H Y AaX h Y aX H aaX H X H aaX H X h aaX H X H aaX H X h aY aaX H Y aaX h Y aaX H Y aaX h Y

There is a 25% chance that each son will exhibit blindness with hemophilia.

There is a 25% chance that each son will exhibit blindness without hemophilia.

There is a 25% chance that each son will exhibit normal vision with hemophilia.

There is a 25% chance that each son will exhibit normal vision withouts hemophilia.

25.

The genotypes (blood group; colorblindness) for the people mentioned in the problem are: a.

John: b.

Mary’s mother:

Heterozygous AB; Afflicted male

Homozygous recessive; Heterozygous (carrier female) iiX iiX c

C

Y

X c

Homozygous recessive; Afflicted male

Homozygous recessive; Heterozygous (carrier female) c.

Mary’s father: d.

Mary:

I A I B iiX C

X c

X c

Y

I A I B X c Y x iiX C X c Cross between John and Mary:

Punnett Square: iX C iX c iX C iX c

I A X c I A iX C X c I A iX c X c I A iX C X c I A iX c X c

I A Y I A iX C Y I A iX c Y I A iX C Y I A iX c Y

I B X c I B iX C X c I B iX c X c I B iX C X c I B iX c X c

I B Y I B iX C Y I B iX c Y I B iX C Y I B iX c Y

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Phenotypic ratios:

2/16 Type A/normal color vision female (12.5%) 2/16 Type A/normal color vision male (12.5%)

2/16 Type A/colorblind female (12.5%) 2/16 Type A/colorblind male (12.5%)

2/16 Type B/normal color vision female (12.5%) 2/16 Type B/normal color vision male (12.5%)

2/16 Type B/colorblind female (12.5%) 2/16 Type B/colorblind male (12.5%)

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