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wwxxyy Genotype in Mendelian Genetics

In Mendelian genetics, for an individual with genotype wwxxyy (three loci), how many distinct gamete types are possible and what genotype will each gamete carry?

Subject: Biology Chapter: Mendelian Genetics Topic: Trihybrid Cross Probabilities Answer included
wwxxyy genotype wwxxyy gamete types meiosis Mendelian genetics trihybrid cross homozygous recessive independent assortment
Accepted answer Answer included

wwxxyy: Gamete Types and Inheritance Meaning

The keyword wwxxyy is a compact way to write a genotype at three loci: \(w\) locus: ww, \(x\) locus: xx, \(y\) locus: yy. Each locus is homozygous, so the same allele is present on both homologous chromosomes.

Result: Number of distinct gamete types \(= 1\) | Gamete genotype \(=\) wxy

Homozygous at every locus means there is no allele choice during meiosis for those genes.

Step 1: Interpret the genotype by locus

Separate the string into pairs (one pair per locus): ww, xx, yy. At each locus, a gamete receives one allele.

Step 2: Apply the meiosis rule for gamete variety

A useful counting rule in Mendelian genetics is:

\[ \text{number of distinct gamete types} = 2^n \]

where \(n\) is the number of heterozygous loci (loci with two different alleles, such as \(Ww\)). For wwxxyy, every locus is homozygous, so \(n = 0\).

\[ 2^0 = 1 \]

Step 3: Write the only possible gamete genotype

Because each locus has only one allele available, every gamete must carry:

  • \(w\) from ww
  • \(x\) from xx
  • \(y\) from yy

Therefore, the only gamete genotype is wxy, and its probability is: \[ P(\text{wxy}) = 1 \]

Summary table

Locus Parent genotype Allele available to pass Allele in every gamete
\(w\) ww \(w\) only w
\(x\) xx \(x\) only x
\(y\) yy \(y\) only y

Visualization: Three homozygous loci produce one gamete type

Meiosis outcome for genotype wwxxyy Locus w w w Locus x x x Locus y y y only outcome Gamete w x y 100% of gametes Homozygous loci contribute only one allele each, so independent assortment does not create multiple gamete combinations here.
Each locus is homozygous (\(ww\), \(xx\), \(yy\)), so meiosis has no allele choice at any locus; every gamete must contain \(w\), \(x\), and \(y\).
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