Question

show your work and circle your answer for the questions below.

1. long hair is dominant to short hair in guinea pigs. cross a short hair guinea pig with a hybrid long hair guinea pig. what is the probability of having a guinea pig with long hair?

Explanation:

Step1: Determine the genotypes

Let \(H\) represent the allele for long hair (dominant) and \(h\) represent the allele for short hair (recessive). A short - hair guinea pig has the genotype \(hh\). A hybrid long - hair guinea pig has the genotype \(Hh\).

Step2: Set up the Punnett square

The cross is \(hh\times Hh\). The gametes from \(hh\) are all \(h\). The gametes from \(Hh\) are \(H\) and \(h\).
The Punnett square is:

	\(H\)	\(h\)

Step3: Calculate the probability

Out of the 2 possible genotypes (\(Hh\) and \(hh\)), the genotype for long hair (\(Hh\)) occurs 1 time.
The probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\)
\(P=\frac{1}{2}= 0.5\)

Answer:

The probability of having a guinea pig with long hair is \(0.5\)