Use a simple allele probability model
Distinguish model probabilities from a guaranteed number of offspring.
Supplied materials
- Fictional plant trait model: P and p are two alleles. Under this deliberately simplified complete-dominance model, PP and Pp have purple flowers; pp has white flowers. Each parent is Pp and contributes P or p with equal probability.
- Assume independent allele contributions in this model. Do not use it to predict a person’s traits.
Learn the idea
An allele is a version of a gene. In a simple complete-dominance model, one P allele is enough for the modelled purple trait. Dominant does not mean better, stronger or necessarily more common.
List one allele from each parent to make four equally likely combinations. Probabilities describe chances under the assumptions; four offspring do not have to include exactly one of each combination. Many real traits involve more complex inheritance.
- Draw a two-by-two table with P and p from each parent.
- Fill the combinations PP, Pp, pP and pp.
- Count the combinations with no P allele.
- Use the changed parent pair in the question.
See the method in action
Pp × Pp gives PP, Pp, pP and pp. Three of four combinations contain P, so purple has probability 3/4 and white has probability 1/4 under this model.
Check your reasoning
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See the answer and explanation
1/2
The Pp parent contributes P or p equally; the pp parent always contributes p. Half the combinations are Pp and half are pp, so white has probability 1/2. This is a chance per offspring, not an exact family count.
Take it further
For PP × pp, every combination is Pp and the model gives purple probability 1. Explain why this model still should not be generalized to every real trait.
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Longer courses for learners ages 14+
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