To solve this, let's define the alleles:
- Let \( L \) be the allele for a long tail (dominant).
- Let \( l \) be the allele for a short tail (recessive).
The genotypes are as follows:
- The heterozygous long-tailed mouse has the genotype \( Ll \).
- The short-tailed mouse has the genotype \( ll \).
When these two mice mate, we can set up a Punnett square to determine the possible genotypes of their offspring:
\[ \begin{array}{c|c|c} & l & l \ \hline L & Ll & Ll \ \hline l & ll & ll \ \end{array} \]
From this Punnett square, we see the possible genotypes for the offspring:
- \( Ll \) (long tail) - 2 squares
- \( ll \) (short tail) - 2 squares
So, out of the 4 possible offspring, 2 will have long tails and 2 will have short tails.
To find the probability of having offspring with short tails:
\[ \text{Probability of short tails} = \frac{\text{Number of short-tailed offspring}}{\text{Total number of offspring}} = \frac{2}{4} = 0.5 \text{ or } 50% \]
Thus, the chances of having offspring with short tails is 50%.