Question

1. determine the probability of their offspring having short hair?

answer: probability of short hair is 50 %

1. determine the probability of their offspring having long and short hai

answers: probability of long hair is %
probability of short hair is %

Explanation:

Step1: Count the total number of offspring

Assume each box in the Punnett square represents one offspring. There are 4 boxes, so there are 4 offspring in total.

Step2: Count the number of long - haired and short - haired offspring

In the second Punnett square, if we assume \(L\) represents the allele for long hair and \(l\) represents the allele for short hair.
For long hair:
We use the formula \(P=\frac{n}{N}\times100\%\), where \(n\) is the number of favorable outcomes and \(N\) is the total number of outcomes.
The number of long - haired offspring (\(n_{L}\)): Looking at the second Punnett square, if \(L\) is dominant (assuming long hair is dominant), the genotypes are \(Ll\), \(Ll\), \(Ll\), \(Ll\). All 4 offspring have at least one dominant \(L\) allele. So \(n_{L} = 4\). Then \(P_{L}=\frac{4}{4}\times100\%=100\%\)
For short hair:
The number of short - haired offspring (\(n_{l}\)): Since all genotypes have a dominant \(L\) allele (assuming short hair is recessive, and the recessive phenotype only shows when the genotype is \(ll\)), \(n_{l}=0\). Then \(P_{l}=\frac{0}{4}\times 100\% = 0\%\)

Answer:

Probability of long hair is \(100\%\)
Probability of short hair is \(0\%\)