Carrying out a genetic cross
Monohybrid crosses
Genetic crosses involving single genes (monohybrid inheritance) can be shown and examined using Punnett squares.
This shows the possible offspring combinations that could be produced. The probabilityThe extent to which something is likely to be the case. of these combinations can be calculated.
Worked example 1
The height of pea plants is controlled by a single gene which has two allelesDifferent forms of the same gene.: tall and short.
The tall allele is dominant and is shown as T.
The small allele is recessive and is shown as t.
Complete a Punnett square like the one shown below to show the possible allele combinations of the offspring produced when two pea plants are bred.
genotypeThe alleles that an organism has for a particular characteristic, usually written as letters. of female = TT
phenotypeThe visible characteristics of an organism which occur as a result of its genes. of female = tall
Genotype of male = tt
Phenotype of male - short
| T | T | |
| t | Tt | Tt |
| t | Tt | Tt |
| t | |
|---|---|
| T | Tt |
| T | Tt |
| t | |
|---|---|
| T | Tt |
| T | Tt |
You see that all the possible offspring have the same genotype - Tt.
Note: You should always write the dominant allele first.
This means that all the offspring produced will be tall.
Worked example 2
In this genetic cross:
- the genotype of the female is Dd
- the genotype of the male is dd
| D | d | |
| d | Dd | dd |
| d | Dd | dd |
| d | |
|---|---|
| D | Dd |
| d | dd |
| d | |
|---|---|
| D | Dd |
| d | dd |
Half of the possible offspring have the genotype Dd and the other half have the genotype dd.
These examples are single gene combinations, but remember that most phenotypes are controlled by multiple genes.
Maths - use probability, direct proportion and simple ratios - Higher
You should be able to express the outcome of a genetic cross using probability, direct proportion or ratios.
Worked example 3
In this genetic cross:
- the genotype of the female is Aa
- the genotype of the male is aa
| A | a | |
| a | Aa | aa |
| a | Aa | aa |
| a | |
|---|---|
| A | Aa |
| a | aa |
| a | |
|---|---|
| A | Aa |
| a | aa |
Direct proportion
Half the offspring have the combination Aa and half have aa.
or:
Out of four offspring, two have the combination Aa and two have aa.
Probability
The probability of the offspring being Aa is 50%.
The probability of the offspring being aa is 50%.
Ratio
The ratio of Aa to aa is 1:1.
It is important to remember that during the process of fertilisation, the allele combinations are created in a random process, which is why probability is used, as nothing is guaranteed.
Each of the four possible offspring combinations is as likely to happen during every fertilisation event.
Worked example 4
The inheritance of fur colour in mice is controlled by a single gene. White fur is recessive. Grey fur is dominant. Two mice that are heterozygous for the fur colour gene mate.
Determine the probability that the offspring will have grey fur.
Step 1:
Female: Aa
Male: Aa
Step 2:
| A | a | |
| A | ||
| a |
| A | |
|---|---|
| A | |
| a | |
| a | |
|---|---|
| A | |
| a | |
Step 3:
| A | a | |
| A | AA | Aa |
| a | Aa | aa |
| A | |
|---|---|
| A | AA |
| a | Aa |
| a | |
|---|---|
| A | Aa |
| a | aa |
There is a 75% probability of the offspring having grey fur, and a 25% probability that offspring will have white fur.
The expected ratio of the offspring will be 3:1, grey fur to white fur.