Question 1Multiple choiceMendelian genetics & inheritance patterns
In a species of mouse, black coat colour (B) is completely dominant over brown (b), and short tail (S) is completely dominant over long tail (s). The two genes are on different chromosomes. A black, short-tailed mouse that is heterozygous for both genes is crossed with a brown, short-tailed mouse that is heterozygous for the tail gene. What fraction of the offspring is expected to have a brown coat and a long tail?
- A.
1/8
- B.
1/16
- C.
1/4
- D.
3/8
Worked solution
Write the genotypes from the phenotype descriptions, because that is where most errors start. The black, short-tailed parent heterozygous for both genes is BbSs. The brown parent must be bb (brown is recessive, so it shows only when homozygous), and heterozygous for the tail gene makes it Ss: the second parent is bbSs.
Because the genes are on different chromosomes they assort independently, so treat each gene as a separate monohybrid cross and multiply the probabilities (the product rule).
Coat colour: Bb × bb gives one half Bb (black) and one half bb (brown). Probability of brown is .
Tail length: Ss × Ss gives one quarter SS, one half Ss, one quarter ss. Probability of long tail (only ss) is .
Combine:
A Punnett square gives the same answer: the bbSs parent makes gametes bS and bs in equal numbers, the BbSs parent makes BS, Bs, bS and bs in equal numbers, and exactly 1 of the 8 equally likely combinations is bbss.
Expected fraction with brown coat and long tail: 1/8 (option A).
Option B (1/16) is the familiar dihybrid figure for BbSs × BbSs, but the brown parent here cannot contribute a B allele, so the recessive class is twice as common. Option C (1/4) is the chance of a long tail alone, ignoring coat colour, and option D (3/8) is the fraction expected to be brown and short-tailed.