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SCIENCE · INVESTIGATE AND EXPLAIN

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.

All lessons are open directly. Your saved experiments remain when you leave and return.

Try

Eight offspring have expected counts 2, 4 and 2. A simulated sample need not contain those exact counts.

Open the experiment

Predict

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
OffspringParent 1 alleleParent 2 alleleGenotype
1aAAa
2aaaa
3aAAa
4aaaa
5AaAa
6AAAA
7AAAA
8AAAA

At sample size 8, expected counts are 2 AA, 4 Aa and 2 aa. The trace records the actual simulated outcomes for seed 1.

0255075100123456Row number · values in %
Calculated values on the same fixed scale
RowQuantityValue (%)
1Observed AA fraction37.5
2Expected AA fraction25
3Observed Aa fraction37.5
4Expected Aa fraction50
5Observed aa fraction25
6Expected aa fraction25

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

An expected count need not be observed

For eight independent Aa × Aa offspring, expected genotype counts are 8/4 = 2 AA, 8/2 = 4 Aa and 8/4 = 2 aa. Expectation describes an average across repeated samples under the model. It does not assign particular genotypes to eight scheduled positions.

The simulator draws an allele from each parent, combines the pair and records the result. A seed makes the pseudorandom sequence reproducible. The displayed offspring are synthetic; they are not experimental observations.

Follow one sample as it grows

Choose a seed before inspecting outcomes. Increase the count from 8 to 12. The first eight remain the same; four more are added. These nested samples are not independent replications. A new seed creates another programmed sequence, but choosing only seeds that agree with the expected ratio biases the evidence.

Under independent draws, larger samples tend to have smaller proportional fluctuations. That does not guarantee that each extension of one particular sample moves every fraction closer to its expectation. Inspect the actual counts rather than treating convergence as a monotonic animation.

Quantify one unusual result

The probability that one offspring is aa is 1/4. For four independent offspring all to be aa, multiply four factors: (1/4)⁴ = 1/256. Such an outcome is unusual but possible under equal segregation.

An unexpected result is a reason to investigate, not automatic proof that inheritance works differently. Plan the sample size and comparison in advance; retain all results. For real data, examine counting errors, survival differences, parental genotype identification and whether the model’s assumptions apply.

In your reflection separate a probability claim, an observed sample fraction and a proposed explanation. Replaying one seed checks reproducibility of the software; it does not create new biological evidence.

Apply

Under independent Aa × Aa outcomes, what is the probability that all four offspring are aa?

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.

Skipping retains experiments and awards no mastery.

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