Compare offspring counts with an inheritance model
Distinguish per-offspring probabilities from finite sample proportions.
Learning outcome: Interpret sampling variation without selectively reporting seeds that match a preferred ratio.
Starting recap
For Aa × Aa, genotype probabilities are 1/4 AA, 1/2 Aa and 1/4 aa. Expected counts equal sample size times probability; observed counts can differ.
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Try
Eight offspring have expected counts 2, 4 and 2. A simulated sample need not contain those exact counts.
Open the experimentPredict
Must increasing from 8 to 12 offspring move every genotype fraction closer to its expectation?
Experiment
Choose a seed before viewing the results. Capture 8 offspring, then 12 and 40 with the same seed. Inspect the individual gametes. Compare three prespecified seeds and retain all outcomes.
Compare finite offspring samples with a probability model
Worked teaching model · synthetic values · An Aa × Aa cross generates two pseudorandom gamete draws per simulated offspring, with probability 1/2 for A from each parent. The seed fixes a reproducible synthetic sequence. Real offspring, linkage, selection and measurement errors are absent.
Reset keeps your prediction, captures and practice history.
Individual simulated parental contributions
Inspect all 8 simulated offspring
| Offspring | Parent 1 allele | Parent 2 allele | Genotype |
|---|---|---|---|
| 1 | a | A | Aa |
| 2 | a | a | aa |
| 3 | a | A | Aa |
| 4 | a | a | aa |
| 5 | A | a | Aa |
| 6 | A | A | AA |
| 7 | A | A | AA |
| 8 | A | A | AA |
At sample size 8, expected counts are 2 AA, 4 Aa and 2 aa. The trace records the actual simulated outcomes for seed 1.
| Row | Quantity | Value (%) |
|---|---|---|
| 1 | Observed AA fraction | 37.5 |
| 2 | Expected AA fraction | 25 |
| 3 | Observed Aa fraction | 37.5 |
| 4 | Expected Aa fraction | 50 |
| 5 | Observed aa fraction | 25 |
| 6 | Expected aa fraction | 25 |
Simulated counts: AA 3, Aa 3, aa 2 out of 8.
Changing the seed generates another deterministic simulation sequence. Increasing sample size keeps the same preceding offspring for a fixed seed. Larger samples tend to have smaller proportional fluctuations under this model, but no individual extension is guaranteed to move closer to the expected ratio.
Captures preserve recipes and replay their calculated results. They are synthetic model evidence, not physical measurements.
Understand
Apply
Public practice checks a specific claim. It does not establish independent mastery.
Explain how you would distinguish an unusual finite sample from evidence against equal segregation using additional data. Identify why repeatedly reusing one seed is not independent evidence.
Continue
Completion requires a saved prediction, at least one capture and a reflection. Presence checks do not grade your reasoning.
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