To determine the chances of having offspring with short tails, we need to understand the genotypes involved.
Let's denote:
- \( L \) = allele for long tail (dominant)
- \( l \) = allele for short tail (recessive)
A long-tailed mouse that is heterozygous would have the genotype \( Ll \), while a short-tailed mouse, which expresses the recessive trait, has the genotype \( ll \).
When these two mice mate, we can set up a Punnett square to find the genotypes of the potential offspring:
\[ \begin{array}{c|c|c} & l & l \ \hline L & Ll & Ll \ \hline l & ll & ll \ \end{array} \]
From the Punnett square, the possible genotypes of the offspring are:
- \( Ll \) (long-tailed) - 2 occurrences
- \( ll \) (short-tailed) - 2 occurrences
Thus, out of 4 total offspring:
- 2 will have the long-tail genotype (Ll)
- 2 will have the short-tail genotype (ll)
The probability of having offspring with short tails (genotype \( ll \)) is \( \frac{2}{4} \) or \( 50% \).
So, the answer is 50%.