In a cross involving a heterozygous red flower plant (Rr) and a white flowered plant (rr), what is the probability that the offspring will be Rr?
Answer Details
This is a monohybrid cross between a heterozygous red-flowered plant (Rr) and a homozygous white-flowered plant (rr), where R (red) is dominant over r (white).
To find the probability of Rr offspring, set up a Punnett square:
r
r
R
Rr
Rr
r
rr
rr
The possible offspring genotypes are:
Rr (heterozygous red) - 2 out of 4 offspring
rr (homozygous white) - 2 out of 4 offspring
The probability of an offspring being Rr is therefore:
\[ \frac{2}{4} = \frac{1}{2} \]
This means there is a 50% chance that any given offspring from this cross will have the genotype Rr (heterozygous red). This type of cross is called a test cross, commonly used to determine the genotype of an organism showing a dominant phenotype. In a test cross of a heterozygous individual with a homozygous recessive individual, the offspring always appear in a 1:1 ratio of heterozygous dominant to homozygous recessive.