Genetics Many genetic traits are controlled by two genes, one dominant and one recessive. In Gregor Mendel’s original experiments with peas the genes controlling the height of the plant are denoted by (tall) and (short). The gene is dominant, so a plant with genotype (genetic makeup) or is tall, whereas one with genotype is short. By a statistical analysis of the offspring in his experiments, Mendel concluded that offspring inherit one gene from each parent and that each possible combination of the two genes is equally likely. If each parent has the genotype , then the following chart gives the possible genotypes of the offspring:
Find the probability that a given offspring of these parents will be
|(a) tall||(b) short|
The probability that a given offspring of these parents will be tall.
There are two types of genes controlling the height of the plant denoted by and .
The possible genotypes of the offspring are as follows.
Here, is the probability of the event .
is the number of elements in event .
is the number of elements in the sample space
The probability that a given offspring of these parents will be short.
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