Even with the availability of high-tech genetic analysis,
geneticists may still use a Punnett square to determine the
probability that a couple’s offspring will inherit a particu-
lar single-gene trait. Punnett squares, like those shown in
Section 19.3 and in this Appendix, show the probable out-
comes of genetic crosses.
You may recall that Section 19.3 considered the geno-
types for the chin fissure trait likely to result from a mating
between two heterozygous parents—that is, parents who
are both Cc (see Figure 19.5B). In that case, remember, there
is a 75 percent chance (three out of four) that any child will
inherit at least one dominant C allele and so have a chin
fissure. It’s not unusual, however, for a geneticist or genetic
counselor to work with couples in which one parent is
thought (or known) to be homozygous for the dominant
form of a trait of interest (in our example, CC), while the
other parent is thought or known to be homozygous for
the recessive version of the trait (cc). In such a scenario, in
theory each of the couple’s children will inherit at least one
dominant version of the allele, as shown in the upper por-
tion of Figure A.9. As you may notice there, the practice in
genetics is to call the first generation to result from a mat-
ing the F 1 generation.
The lower portion of Figure A.9 illustrates the possible
genotypes for the trait of interest that would result from
a mating between a second generation (denoted F 2 ) of
offspring. Scientists who study genetic outcomes in non-
human organisms use this type of cross, called a testcross,
to track outcomes over several generations. For ethical rea-
sons we don’t do testcrosses with human subjects, but the
genetic equivalent is a mating between individuals who
both are heterozygous for a given trait. As you can see in
the lower portion of Figure A.9, the theoretical result is the
same as in Figure 19.5B. Each child of such parents has a
75 percent chance of having at least one dominant allele.
Figure A.10 uses the chin fissure example to explain the
three basic steps for calculating the probability that parents
will pass a particular single-gene trait to offspring.
Section 19.3 also discussed the mechanism of indepen-
dent assortment, which occurs as meiosis forms gametes
(sperm or eggs). Independent assortment explains why a
particular single-gene trait generally is inherited indepen-
dently of other single-gene traits. Figure 19.7 showed how
this works when two single-gene traits (the chin fissure
and freckles) are considered. The sixteen possible combina-
tions of phenotypes among offspring of such a cross tend
to occur in a 9:3:3:1 ratio, on average. Figure A.11 explains
how the rules of probability operate in this sort of scenario.
A Closer Look at Probability and Independent Assortment
Figure A.9 With a testcross performed to learn parental
genotypes for a single trait, a different set of genetic results
is possible in the second generation. (© Cengage Learning)
Cc
C
c c
Parent:
homozygous
recessive
CcCc
Parent:
homozygous
dominant
CC
C
cc
cc
C C Cc
F 1
phenotypes
Cc
Cc
Cc
Cc
C
C c
F 1
offspring:
CC Cc
F 1
offspring:
Cc
C
C c
Cc
c c Cc
F 2
phenotypes
CC
Cc
Cc
cc
alleles segregate
3 dominant (CC,Cc,Cc)
1 recessive (cc)
cc
Appendix IV
A-10 Appendix iV
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