AP Biology – Genetics Practice Answer Key Note: anywhere that allele letter is not specified, you may choose your own. Which side of a square holds maternal vs. paternal gametes is also up to you. MONOHYBRID AND POLYHYBRID CROSSES 1. A a A AA Aa a Aa aa The trees must both be heterozygous. Some offspring are ff; therefore, both parents must have at least one f allele. Both parents are fuzzy, therefore, they also have at least one F allele. Chance normal skin: 75% Chance albino: 25% If normal, 66% chance carrier 6. 2. H h h Hh hh h Hh hh 50% Hh, 50% hh 50% horns, 50% no horns R r R RR Rr r Rr rr White is dominant. If red is dominant, as shown above, you could cross two red trees and yet get white offspring (25% chance). However, if white is dominant, a white tree must have at least one dominant allele, which means a parent would’ve had that allele, making the parent white. 3. B b B BB Bb b Bb bb 25% BB, 50% Bb, 25% bb 75% brown, 25% blue 4. W W W WW WW w Ww Ww 0% short whiskers 5. F f F FF Ff f Ff ff 7. Cow A x bull h h h hh (D) Cow B x bull H h h hh (E) Cow C x bull h h H Hh (F) A: hh, B: Hh, C: hh, D: hh, E: hh, F: Hh, bull: Hh 8. Sickle-cell (in this scenario) must be recessive. If it were dominant, their parents would have to have it in order to have produced sickle-celled children. So the siblings’ genotypes must be ss. Karen & Steve’s parents must therefore be Ss. S s S SS Ss s Ss ss Karen and Steve both have a 66% chance of being carriers. Only if they are both carriers could they have a child with sickle-cell anemia. If Karen has a 66% chance of being a carrier, and so does Steve, then the odds under the Rule of Multiplication that they are both carriers are .66 x .66 = .44. S s S SS Ss s Ss ss Odds of child with sickle-cell: 25%. The odds, then, of a child with sickle-cell = .25*.44 = .11 or 11% probability. 9. TG Tg tG tg TG TTGG TTGg TtGG TtGg Tg TTGg TTgg TtGg Ttgg tG TtGG TtGg ttGG ttGg tg TtGg Ttgg ttGg ttgg Tall/Green = 9/16 or 56.25% Tall/Yellow = 3/16 or 18.75% Short/Green = 3/16 or 18.75% Short/Yellow = 1/16 or 6.25% 10. T t T TT Tt t Tt tt G g G GG Gg g Gg gg Height Tall/Green .75 Tall/Yellow .75 Short/Green .25 Short/Yellow .25 Color .75 .25 .75 .25 P .5625 .1875 .1875 .0625 11a. Hh b. H or h c. hh d. h or h e. 50% f. 50% 12a. Ab, Ab, ab, ab b. AB, AB, aB, aB c. AB, Ab, aB, ab d. AB, AB, Ab, Ab e. Ab, Ab, Ab, Ab f. ab, ab, ab, ab 13a. 50% b. 50% c. 25% d. 0% e. 0% 14. Perform a test cross. Mate him with a female with a white coat. Her genotype is guaranteed to be bb. If any of their offspring are white, he must be heterozygous, because a bb baby must have received a b allele from him as well as from Mom. If all the babies are blackcoated, he’s probably BB, but it isn’t a guarantee. 15. Parental Genotype Aa x Aa Aa x aa AaBb x AaBB AaBb x AABb AaBb x AaBb Offspring Genotype Aa Aa AABB aabb AaBb Probability .5 .5 .25 x .5 = .125 0 .5 x .5 = .25 16. AA x Aa, Aa x Aa, Aa x aa, AA x aa 17. p of being tall (at least one T) = .5, p of being colored (at least one C) = .75 The parents must be Cc x Cc with respect to color, it’s the only monohybrid cross that can produce a .75 probability at all. This eliminates options c and e. With respect to tallness, the parents must be Tt x tt. At least one parent must have a T. If they’re TT, all offspring will be tall. If they’re Tt, crossing them with another heterozygote yields .75 tall, not .5. Crossing them with a tt, though, yields .5. This eliminates options b, d, and e. The option that fits is option a. 18a. 25%. b. 66%. c. 75%. 19. We seek progeny that will be dominant for A, B, and D, but recessive for C and E. P dominant phenotype for A: .75 P dominant phenotype for B: .5 P recessive phenotype for C: .5 P dominant phenotype for D: .75 P recessive phenotype for E: 1.0 .75*.5*.5*.75*1 = .14 or 14% chance. 20a. .25*.25*.25*.25 = .0039 or .39% b. .5*.5*.5*.5 = .0625 or 6.25% c. .25*.25*.25*.25 = .0039 or .39% d. .5*.25*.25*.5 = .015 or 1.5% e. .5*.25*.25*.25 = .0078 or .78% 21. (3/8 = .375, 1/8 = .125) A good way to start is with the recessive/recessive puppies. A .125 frequency could only be obtained via .5*.25 operation. .25 only occurs in heterozygote vs heterozygote crosses, so the parents are both heterozygous for one of the two genes. For the other gene, one parent must be heterozygous and the other must be homozygous recessive in order to have a .5 chance of homozygous recessive puppies. Our options are therefore either BbSs x Bbss or BbSs x bbSs. The former produces a homozygous dominant chance of (.75*.5) = .375, which fits the data. But so does the latter, so that isn’t helpful. However, we know that there is a .375 chance of black spotted, and a .125 chance of chestnut solid. If the parents are BbSs x Bbss, the chance of black spotted is .75*.5 = .375, and the chance of chestnut solid is .25*.5 = .125, which fits the data. If the parents are BbSs x bbSs, the chance of black spotted is .5 * .25 = .125, which is does not match the data. The parents’ genotypes are BbSs x Bbss. 22. If all F1 have red terminal flowers, red and terminal must be dominant. F1 plants are all heterozygous for both genes, so the odds of a red F2 flower = .75 and the odds of an axial F2 flower = .25. The odds of a red axial flower are therefore .75*.25 = .1875 or 18.75%. 23. Wherever there is a ?, it means either allele could be present there. a. One/normal = .764, One/wrinkled = .236 At least one parent must be homozygous dominant for number in order to guarantee all offspring have one pod. This leaves a 75% dominant/25% recessive split for shape. Parents’ genotypes are PPLl x ??Ll. b. Three/normal = .753, Three/wrinkled = .247 Both parents must be recessive to guarantee recessive offspring for number. This leaves a 75%/25% split for shape. Parents’ genotypes are ppLl x ppLl. c. One/normal = 1.0 At least one parent must be homozygous dominant for number, and at least one parent must be homozygous dominant for shape. Parents’ genotypes could be PPLL x ???? or PP?? x ??LL. d. One/normal = .379, One/wrinkled = .371, Three/normal = .129, Three/wrinkled = .121 See problem #21 where these same proportions appear. The rationale for parental genotypes here is identical to that problem. Parents’ genotypes must be PpLl x Ppll. e. One/normal = .56, One/wrinkled = .181, Three/normal = .191, Three/wrinkled = .068. Notice that recessive/recessive is close to .0625, which is .25*.25. .25 recessive can only be obtained by crossing heterozygotes. Therfore, parents’ genotypes are PpLl x PpLl. 24. This suggests that both genes follow a simple Mendelian pattern of inheritance. The F1 offspring are heterozygous, AaBb, and are smelly non-singers. Therefore, being smelly is dominant while fragrant is recessive, and being a non-singer is dominant while singing is recessive. The smelly singer parents must have been AAbb and the fragrant non-singer parent was aaBB. 25. The man and woman are both either MM or Mm for methanethiol, and also BB or Bb for excreting betamin. Their son is mmbb, on the other hand. The parents must therefore be heterozygous for both (MmBb x MmBb). In subsequent progeny, the odds are 56.25% no methanethiol/betamin, 18.75% no methanethiol/no betamin, 18.75% methanethiol/ betamin, 6.25% methanethiol/no betamin 26. To determine whether curling is dominant or recessive, the curl cat should be mated with a true-breeding non-curl cat. If curling is recessive, no offspring will show curling. If curling is dominant, either half or all of the offspring will show curling. An organism can be shown to be true-breeding if, when mated with other organisms of its same phenotype, it always produces offspring with that phenotype. For true-breeding recessive, this means you’re mating aa xaa, which will always produce aa offspring. For true-breeding dominant, this means that a truebreeding AA individual will always have offspring with at least one A, no matter whether mated to AA or Aa. If the individual had not been true-breeding (Aa), then mating it with other dominant individuals would sometimes produce all dominant offspring (if the partner is AA), but would sometimes produce a few recessive offspring (Aa). This method has the advantage of being possible to carry out even if you don’t know whether the phenotype is dominant or recessive; mating like with like will still demonstrate whether an individual is true-breeding. INCOMPLETE DOMINANCE, CODOMINANCE, MULTIPLE ALLELES, LETHALITY 27. Purple = RW, white = WW P W W PW WW W PW WW 1:1 Purple:White, 1:1 PW:WW 28a. R r R RR Rr r Rr rr .25 RR (red), .5 Rr (pink), .25 rr (white) A a A AA Aa a Aa aa .25 AA, .5 Aa, .25 aa or .75 axial, .25 terminal Y W Y YY YW W YW WW 1:2:1 Yellow:Cream:White, 1:2:1 YY:YW:WW b. Y Y Y YY YY W YW YW 1:1 Yellow:Cream, 1:1 YY:YW 29. (Typo, should read codominance in coat color, roan has some red hairs and some white hairs) R W R RR RW W RW WW 1:2:1 Red:Roan:White, 1:2:1 RR:RW:WW 30. (Typo, should be in incomplete dominance section) Color exhibits incomplete dominance between the black and white alleles. A gray rooster and black hen would have a 50% chance of gray and 50% chance of black offspring. 31. (Typo, should be in incomplete dominance section) If P generation is AARR x aarr, the F1 generation will be entirely AaRr, which is 100% axial-pink. In the F2 generation… Axial-Red: .75 * .25 = .1875 or 3/16 Axial-Pink: .75 * .5 = .375 or 3/8 Axial-White: .75 * .25 = .1875 or 3/16 Terminal-Red: .25 * .25 = .0625 or 1/16 Terminal-Pink: .25 * .5 = .125 or 1/8 Terminal-White: .25 * .25 = .0625 or 1/16 The ratio of axial-red:axial-pink:axialwhite:terminal-red:terminal-pink:terminalwhite is therefore 3:6:3:1:2:1 32. Four phenotypes are possible: H-color, Icolor, HI-color, and i-color. 33a. The parents are C? x ChCh or Chc. If parent one is CC, all offspring in F1 would be black, so that’s not correct. Possible parents are therefore: CCh x ChCh =1:1 black:chinchilla, fits the data Cc x ChCh = 1:1 black:chinchilla, also fits CCh x Chc = 1:1 black:chinchilla, also fits Cc x Chc = 2:1:1 black:chinchilla:white, no fit So the parents can be narrowed down to three pairs, but not definitively determined. b. This time, the parents must definitely be Cc x Chc for reasons outlined in part a. 34. IB IO IA IAIB IAIO IB IBIB IBIO 1:1:1:1 IAIB: IAIO: IBIB: IBIO 1:1:2 Type AB:Type A: Type B 35. Their children cannot have type O blood; their father doesn’t have an IO allele to bequeath them. Silvia & Juan IO IO IA IAIO IAIO 36. All four: A, AB, B, and O. IB IBIO IBIO 37. No. He could be genotype IBIO and she could be genotype IAIO, giving them a ¼ chance of type O offspring. David & Nicole IB ? 38. He is right. He would have to have an IO allele for their child to be genotype IOIO. Either she or the hospital has some explaining to do… IA IAIB IA? IB IBIB IB? 39. A, AB, and B. 41. Blood type of Mother Blood Type of Child AB A O A O B B AB O A 40. Baby 1 cannot belong to Duke/Betty. Baby 2 cannot belong to Kelly/Mohammed, Duke/Betty, or Silvia/Juan. Baby 3 cannot belong to Silvia/Juan or David/Nicole. Baby 4 cannot belong to Kelly/Mohammed or Duke/Betty. Parents Possible Babies Kelly & Mohammed 1, 3 Duke & Betty 3 Silvia & Juan 1,4 David & Nicole 1,2,4 So Baby 1: Kelly & Mohammed Baby 2: David & Nicole Baby 3: Duke & Betty Baby 4: Silvia & Juan Kelly & Mohammed IO IO A I ? A O II O ?I Duke & Betty IO O I O I OO I I OO I I 42. Aa x Aa Offspring could be achondroplastic or not, Aa or aa. 66% chance Aa, 33% chance aa. 43. CcBb x Ccbb C c C CC Cc c Cc cc A O II 1/3 normal, 2/3 deformed O ?I B b b Bb bb b Bb bb O I OO I I Exonerated Man Blood Types None (BB only) A A, O AB B, O 1/4 black, 1/2 brown, 1/4 white OO I I CCBB = 1/3 * 1/4 = 1/12 CCBb = 1/3 * 1/2 = 1/6 CCbb = 1/3 * 1/4 = 1/12 CcBB = 2/3 * 1/4 = 1/6 CcBb = 2/3 * 1/2 = 1/3 Ccbb = 2/3 * 1/4 = 1/6 1:2:1:2:4:2 Normal/Black:Normal/Brown:Normal/White:De formed/Black:Deformed/Brown:Deformed/Whi te 44. Hairlessness must be the heterozygous condition, normal hair must be the homozygous dominant condition, and homozygous recessive is lethal. The crosses are: B b B BB Bb B BB Bb ½ normal hair, ½ hairless, matching the data. B b B BB Bb b Bb bb Because the bb zygote dies, 2/3 of offspring of the second cross are hairless, 1/3 are normal hair. SEX-LINKAGE, POLYGENIC TRAITS, EPISTASIS 45. XH Y XH XH XH XHY Xh XH Xh XhY 48a. The mother must be a carrier, XH Xh. The son receives his X chromosome from her, and his X chromosome bears the hemophilia allele, therefore she has a recessive allele. She also has a dominant allele because she is not a hemophiliac. b. Xh Y Normal daughter (XH XH, XH Xh), normal son (XHY), hemophiliac son (XhY). XH XH Xh XHY Xh Xh Xh XhY 46. Polydactyly is autosomal dominant, colorblindness is X-linked recessive. D d Their odds are 50% for either a hemophiliac son, a hemophiliac daughter, or a hemophiliac child in general. d Dd dd d Dd dd Xh Y XH XH Xh XHY Xh Xh Xh XhY Percent colorblind + five-fingered: .5 * .5 = .25 or 25%. Percent normal vision + five-fingered: .5 * .5 = 25%. 47. When not otherwise specified, assume that sex-linked means X-linked. Regardless, we know that the calico cat is the female, because males cannot be heterozygous for sex-linked traits. Furthermore, a Punnett Square is actually unnecessary, but here it is anyways: Xh Y XH XH Xh XHY Xh Xh Xh XhY As was just stated “males cannot be heterozygous for sex-linked traits,” therefore the odds of a calico male kitten are 0%. 49. Xr Y XR XR Xr XR Y X? X? Xr X ?Y They will certainly have some red-eyed females (XR Xr) and some red-eyed males (XRY). However, without knowing the mother’s full genotype, we don’t know whether they could also have white-eyed females and males (Xr Xr and XrY). 50a. No, he cannot. His son can have a receding hairline, but the allele didn’t come from Dad. b. His mother’s father would be the best indication, as she has his X-chromosome. If he had a receding hairline, his mother is at least a carrier. Her grandfathers can also be helpful, as can her brothers. 51. He must also be colorblind; she received a colorblind X-chromosome from him, and he only has the one. 52. Nothing at all. 53a. Two genes. (Notice, that the extreme classes are about 1/16th of the total – this is the proportion of aabb in a dihybrid cross) b. Tricky tricky! Each gene must add or subtract a certain length to the piglet’s tail, with a 15 cm baseline if length is being added per allele or a 35 cm baseline if length is being subtracted. It doesn’t actually matter in this case whether A and B add or whether A and B subtract; for the sake of clarity, A and B will add while a and b code for no addition, i.e. baseline tail length. So, the 15 cm pig has genotype aabb. The 35 cm pig has genotype AABB. 35 is 4 x 5 cm greater than 15, so it seems that each A allele adds 5 cm, as does each B allele. This gives us the following parents: aabb (15 cm) and either AABb or AaBB (30 cm, doesn’t matter which, AABb will be used for squares). A A a Aa Aa a Aa Aa B b b Bb bb b Bb bb Offspring could have the genotypes AaBb or Aabb. (Had the other possible parent #2 been used, genotypes would be AABb or AaBb.) Possible phenotypes are 20 cm or 25 cm tails. 54a. To start, we know E??? x E???. Of nine offspring, seven are golden, which is closest to 75%. The parents are most likely heterozygous for E. Then, of the ee puppies, half are brown and half are black. The parents are most likely Bb x bb, although they could be Bb x Bb because a sample size of two is difficult to draw a good conclusion from. So the answer is most likely EeBb x Eebb. b. To start, we know eeB? X E???. Not all offspring are golden, so the male must be Ee. Of non-golden offspring, about ¾ are dominant black and about ¼ are recessive brown, so both parents are most likely heterozygous (eeBb x EeBb). But the male could be homozygous recessive instead (Eebb). 55. The colored rooster could be CCpp or Ccpp. The white hen could be any genotype except CCpp or Ccpp. 400 chicks all being born colored powerfully suggests that she must be pp. The only way should be pp and white is to be ccpp. We’ve now narrowed it down to a or c as the answer. If a were true and the rooster were Ccpp, half the offspring would be white (ccpp). So the answer is C, the rooster is CCpp and the hen is ccpp, guaranteeing all offspring are Ccpp – colored. PEDIGREES Pedigee #1 a) Yes b) No c) Yes d) No e) No Pedigree #2 a) No b) Yes c) No d) Yes e) No Pedigree #3 a) Yes b) No c) No d) No e) No Pedigree #4 a) Yes b) Yes c) Yes d) Yes e) No Aa x Aa XA Y x XA Xa Aa x Aa XA Y x XA Xa Aa x Aa aa x Aa Aa x aa Xa Y x XA Xa XA Y x XA Xa Pedigree A: Deaf Mutism Deaf mutism must be autosomal recessive. See future pages for completed pedigree. 1. Because they’re both homozygous for the deaf-mute allele. It’s impossible (mutation aside) for them to have children who hear normally. 2. They’re both carriers of the deaf-mute allele (Dd). 3. Either parents 9 and 12 are DD, ensuring all their children received a D allele, or it was simple luck that their children all received their D allele rather than their d allele. Each child had a 50/50 chance. 4. II-3, II-6, III-1, III-4, III-5, III-6, III-7, IIII-9, III10, III-12, IV-4, IV-5, IV-6 5. The pattern is that they didn’t have either a parent or a child with deaf mutism. Pedigree B: Hemophilia Hemophilia is X-linked recessive. See future pages for completed pedigree. 6. If the mother is a carrier (XH Xh) and the father is healthy (XH Y), they can have an afflicted son (XhY). 7. Carriers (XH Xh), although they could have also been afflicted (Xh Xh) but didn’t happen to be in this case. This is because, in order for a female to be affected, she must receive Xh from both parents. This means her mother must be either a carrier of the allele, or homozygous for the allele and therefore hemophiliac. 8. They all have an affected father. This is because they must receive Xh from both parents. If her father has Xh then he’s hemophiliac, since he doesn’t have a second copy of the gene that could mask it. 9. II-3, II-7, III-4, III-11, III-12, III-15, III-18, IV-1, V-2, IV-5, IV-7. The common denominators are that all of them are women, none of them have an affected mother or father, and none of them have an affected child. This means that they’re all known to possess one dominant allele, and because they’re women they must have a second allele, but the second cannot be determined, just as in the case of an autosomal recessive trait. Pedigree C: Brachydactyly 10. Brachydactyly is most likely autosomal dominant. All brachydactalic individuals had at least one parent who also had brachytactyly, and there’s no clear trend in terms of sex.