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Trihybrid cross calculator

Select each parent genotype at all 3 loci. The tables show genotype probabilities and the underlying gamete pairings.

Calculator

All loci show dominant phenotype
42.1875%
All loci show recessive phenotype
1.5625%
Offspring genotype probabilities
GenotypeProportionPairings
aabbcc0.0156251/64
aabbCc0.0312502/64
aabbCC0.0156251/64
aaBbcc0.0312502/64
aaBbCc0.0625004/64
aaBbCC0.0312502/64
aaBBcc0.0156251/64
aaBBCc0.0312502/64
aaBBCC0.0156251/64
Aabbcc0.0312502/64
AabbCc0.0625004/64
AabbCC0.0312502/64
AaBbcc0.0625004/64
AaBbCc0.1250008/64
AaBbCC0.0625004/64
AaBBcc0.0312502/64
AaBBCc0.0625004/64
AaBBCC0.0312502/64
AAbbcc0.0156251/64
AAbbCc0.0312502/64
AAbbCC0.0156251/64
AABbcc0.0312502/64
AABbCc0.0625004/64
AABbCC0.0312502/64
AABBcc0.0156251/64
AABBCc0.0312502/64
AABBCC0.0156251/64
Phenotypes under complete dominance
Dominance patternProportionPairings
abc0.0156251/64
abC0.0468753/64
aBc0.0468753/64
aBC0.1406259/64
Abc0.0468753/64
AbC0.1406259/64
ABc0.1406259/64
ABC0.42187527/64
Punnett pairings
First parent gameteSecond parent gameteOffspring genotype
ABCABCAABBCC
ABCABcAABBCc
ABCAbCAABbCC
ABCAbcAABbCc
ABCaBCAaBBCC
ABCaBcAaBBCc
ABCabCAaBbCC
ABCabcAaBbCc
ABcABCAABBCc
ABcABcAABBcc
ABcAbCAABbCc
ABcAbcAABbcc
ABcaBCAaBBCc
ABcaBcAaBBcc
ABcabCAaBbCc
ABcabcAaBbcc
AbCABCAABbCC
AbCABcAABbCc
AbCAbCAAbbCC
AbCAbcAAbbCc
AbCaBCAaBbCC
AbCaBcAaBbCc
AbCabCAabbCC
AbCabcAabbCc
AbcABCAABbCc
AbcABcAABbcc
AbcAbCAAbbCc
AbcAbcAAbbcc
AbcaBCAaBbCc
AbcaBcAaBbcc
AbcabCAabbCc
AbcabcAabbcc
aBCABCAaBBCC
aBCABcAaBBCc
aBCAbCAaBbCC
aBCAbcAaBbCc
aBCaBCaaBBCC
aBCaBcaaBBCc
aBCabCaaBbCC
aBCabcaaBbCc
aBcABCAaBBCc
aBcABcAaBBcc
aBcAbCAaBbCc
aBcAbcAaBbcc
aBcaBCaaBBCc
aBcaBcaaBBcc
aBcabCaaBbCc
aBcabcaaBbcc
abCABCAaBbCC
abCABcAaBbCc
abCAbCAabbCC
abCAbcAabbCc
abCaBCaaBbCC
abCaBcaaBbCc
abCabCaabbCC
abCabcaabbCc
abcABCAaBbCc
abcABcAaBbcc
abcAbCAabbCc
abcAbcAabbcc
abcaBCaaBbCc
abcaBcaaBbcc
abcabCaabbCc
abcabcaabbcc

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How this calculator works

Three unlinked two-allele loci can produce eight gamete combinations per heterozygous parent. The calculation enumerates 64 pairings and groups the resulting 27 possible unordered genotypes. Phenotype groups use complete dominance at each locus. This is useful for checking three-trait crosses, but linkage, epistasis and unequal viability can invalidate the independent model.

Formula

Each gamete pairing has probability 1/(2^loci × 2^loci). Genotype probability = matching pairings/total pairings. Independent-locus probabilities multiply.

Worked example

AaBbCc crossed with AaBbCc gives all three dominant phenotypes with probability 27/64 and aabbcc with probability 1/64. AABBCC crossed with aabbcc gives AaBbCc in every pairing.

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Frequently asked questions

Why does a trihybrid square have 64 pairings?

A triple heterozygote has eight equally likely gamete combinations. Eight times eight produces 64 pairings.

What is the all-dominant probability?

For two triple heterozygotes under complete dominance and independence, it is (3/4) cubed, or 27/64.

Can a table predict exact offspring counts?

No. It predicts probabilities. Real counts vary through random sampling and biological effects beyond the model.

Sources

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