Reading genotype and phenotype ratios
How a monohybrid cross turns into a 1:2:1 genotype ratio and a 3:1 phenotype ratio, and why the two counts are different.
Two ratios from one grid
A monohybrid Punnett square gives you two answers at once, and it helps to keep them apart. The genotype ratio counts the actual allele pairs among the four offspring, so a heterozygous cross reads 1 AA to 2 Aa to 1 aa. The phenotype ratio counts what you would see, grouping every genotype that shows the dominant trait together. Because AA and Aa look the same under complete dominance, the same grid reads 3 dominant to 1 recessive. This calculator prints both lines so you never have to convert one into the other by hand.
Where the 1:2:1 comes from
Cross two heterozygotes, Aa by Aa, and each parent sends either an A or an a into a gamete with equal odds. The grid pairs them into four cells: A with A, A with a, a with A, and a with a. The two mixed cells both normalise to Aa, which is why the middle class is twice as common as either pure class. That doubling is the whole reason the ratio is 1:2:1 rather than an even split, and it is the signature pattern that Mendel first described.
Why the phenotype collapses to 3:1
Under complete dominance a single capital allele masks the recessive one, so AA and Aa produce exactly the same visible trait. Grouping the one AA cell with the two Aa cells gives three offspring showing the dominant trait, against the one aa that shows the recessive trait. The 3:1 phenotype ratio is therefore not a new fact but the same grid viewed through the lens of what is expressed. Change the dominance rule and this collapse no longer happens.
The test cross shortcut
Sometimes you can see the dominant trait but cannot tell whether an organism is AA or Aa. Crossing it with a known recessive aa, a test cross, settles it. If the mystery parent is AA, every offspring is Aa and all show the dominant trait. If it is Aa, half the offspring are aa and show the recessive trait, giving the 2 Aa to 2 aa split this tool reports for Aa by aa. The appearance of any recessive offspring is the tell.