HeterozGoats Probability Problem 1) Perform a dihybrid cross between heterozygou
ID: 273036 • Letter: H
Question
HeterozGoats Probability Problem 1) Perform a dihybrid cross between heterozygous goat parents with the genotypes WwHh. and Wwth (W wooly coat, w smooth coat, H horned, h no horns). What is the probability that an Fi generation goat will be homozygous dominant for both traits, knowing that it was born with a wooly coat and has horns? (4 points) First, use a 4x4 Punnett square to cross the two parents together (this is a dihybrid cross). You will have to generate the parental gametes, arrange them properly around the square, then complete the Punnett square with the offspring's genotypes. You may use the diagram below or draw your own. Next, use the appropriate probability formula to answer the question above. To get full points, you must write out the equation and show your work all the way through. (Hint: it would be a good idea to color-code certain genotypes above.) Please draw a box around your final answer.Explanation / Answer
W - wooly coat(dominant).
w - smooth coat(recessive).
H- horhed(dominant).
h - no horns(recessive).
Cross WwHh(Wooly coat with horned goat X WwHh
Gametes formed WH, Wh, wH and wh WH, Wh, wH and wh.
Next generation
Total number of offsprings = 16.
The genotype of homozygous dominant for both traits - HHWW = 1.
Then, the probability of homozygous dominant for both traits = 1/16
Number of wooly coat with horned goat = 9.
Then, the wooly coat with horned goat = 9/16.
P(A given B)= P(A and B) / P(B), where A is WWHH and B is wooly and horned.
Then P(A given B) = (1/16) / (9/16)= 16/144 = 1/9.
Male/Female WH Wh wH wh WH WWHH(Wooly coat with horned goat) WWHh(Wooly coat with horned goat) WwHH(Wooly coat with horned goat) WwHh(Wooly coat with horned goat) Wh WWHh(Wooly coat with horned goat) WWhh(Wooly coat with no horn goat) WwHh(Wooly coat with horned goat) Wwhh(Wooly coat with no horn goat) wH WwHH(Wooly coat with horned goat) WwHh(Wooly coat with horned goat) wwHH(Smooth coat with horned goat) wwHh(Smooth coat with horned goat) wh WwHh(Wooly coat with horned goat) WWhh(Wooly coat with no horn goat) wwHh(Smooth coat with horned goat) wwhh(Smooth coat with no horn goat)