Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

trait: scale color dragons have scales that cover their tails, backs, a…

Question

trait: scale color
dragons have scales that cover their tails, backs, and heads. blue scales are dominant to red scales. your dragons mother and father are heterozygous for scale color.
mothers genotype: ____
fathers genotype: ____
number rolled on the dice: __
chances of getting this genotype: ____
chances of getting this phenotype: ____

Explanation:

Step1: Define genotype notation

Let \(B\) = dominant blue scale allele, \(b\) = recessive red scale allele. Heterozygous genotype is \(Bb\).

Step2: Set up parental genotypes

Mother's genotype: \(Bb\)
Father's genotype: \(Bb\)

Step3: Calculate genotype probabilities

Use Punnett square for \(Bb \times Bb\):

  • \(BB\): \(\frac{1}{4}\), \(Bb\): \(\frac{2}{4}=\frac{1}{2}\), \(bb\): \(\frac{1}{4}\)

Step4: Calculate phenotype probabilities

Blue scales (\(BB, Bb\)): \(\frac{1}{4}+\frac{2}{4}=\frac{3}{4}\)
Red scales (\(bb\)): \(\frac{1}{4}\)

Step5: Dice roll note

Dice roll (1-6) is random; it selects one genotype/phenotype from possible outcomes, but the fixed probabilities above apply regardless of the roll.

Answer:

Mother's genotype: \(Bb\)
Father's genotype: \(Bb\)
Number rolled on the dice: [varies 1-6, e.g., if rolling for \(BB\), roll 1; \(Bb\) rolls 2-3; \(bb\) roll 4]
Chances of getting this genotype: \(BB=\frac{1}{4}\), \(Bb=\frac{1}{2}\), \(bb=\frac{1}{4}\)
Chances of getting this phenotype: Blue scales \(=\frac{3}{4}\), Red scales \(=\frac{1}{4}\)