Two short haired guinea pigs are mated several times out of 100 offspring 25 them have long hair what the probable genotypes parents?

Here's how we can figure out the probable genotypes of the parent guinea pigs:

Understanding the Genetics

* Long hair is recessive: This means an offspring needs to inherit two copies of the recessive allele (let's call it "l") to have long hair.

* Short hair is dominant: This means an offspring only needs one copy of the dominant allele (let's call it "L") to have short hair.

Analyzing the Offspring

* 25% long hair: This tells us that 25% of the offspring received two "l" alleles.

* 75% short hair: This tells us that 75% of the offspring received at least one "L" allele.

Determining Parental Genotypes

To get a 25% chance of long hair, both parents must be carriers of the recessive "l" allele. This means the only possible parental genotypes are:

* Parent 1: Ll (Heterozygous - one dominant and one recessive allele)

* Parent 2: Ll (Heterozygous - one dominant and one recessive allele)

Punnett Square Explanation

Here's how the Punnett Square for this cross would look:

```

L l

L LL Ll

l Ll ll

```

* LL: Short hair (dominant)

* Ll: Short hair (dominant)

* ll: Long hair (recessive)

As you can see, this results in a 1:2:1 ratio of genotypes (LL:Ll:ll), which translates to a 3:1 ratio of phenotypes (short hair:long hair).

Conclusion

The most probable genotypes of the parent guinea pigs are both Ll (heterozygous).