The color of a person’s eyes is determined by a single pair of genes if they are both blue-eyed genes, then the person will have blue eyes: if they are both brown-eyed genes, then the person will have brown eyes: and if one of them is a blue-eyed gene and the other a brown-eyed gene, then the person will have brown eyes, (because of the latter fact, we say that the brown-eyed gene is dominant over the blue-eyed one.) A newborn child independently receives one eye gene from each of its parents, and the gene it receives from a parent is equally likely to be either of the two eye genes of that parent suppose that smith and both of his parents have brown eyes, but smith’s sister has blue eyes. a. What is the probability that Smith possesses a blue eyed gene? b. Suppose that Smith’s wife has blue eyes. What is the probability that their first child will have blue eyes? c. If their first child has brown eyes, what is the probability that their next child will also have brown eyes?
The color of a person’s eyes is determined by a single pair of genes if they are both blue-eyed genes, then the person will have blue eyes: if they are both brown-eyed genes, then the person will have brown eyes: and if one of them is a blue-eyed gene and the other a brown-eyed gene, then the person will have brown eyes, (because of the latter fact, we say that the brown-eyed gene is dominant over the blue-eyed one.) A newborn child independently receives one eye gene from each of its parents, and the gene it receives from a parent is equally likely to be either of the two eye genes of that parent suppose that smith and both of his parents have brown eyes, but smith’s sister has blue eyes. a. What is the probability that Smith possesses a blue eyed gene? b. Suppose that Smith’s wife has blue eyes. What is the probability that their first child will have blue eyes? c. If their first child has brown eyes, what is the probability that their next child will also have brown eyes?
Solution Summary: The author calculates the probability of Smith possessing a blue-eyed gene by adding the two mutually exclusive events.
The color of a person’s eyes is determined by a single pair of genes if they are both blue-eyed genes, then the person will have blue eyes: if they are both brown-eyed genes, then the person will have brown eyes: and if one of them is a blue-eyed gene and the other a brown-eyed gene, then the person will have brown eyes, (because of the latter fact, we say that the brown-eyed gene is dominant over the blue-eyed one.) A newborn child independently receives one eye gene from each of its parents, and the gene it receives from a parent is equally likely to be either of the two eye genes of that parent suppose that smith and both of his parents have brown eyes, but smith’s sister has blue eyes.
a. What is the probability that Smith possesses a blue eyed gene?
b. Suppose that Smith’s wife has blue eyes. What is the probability that their first child will have blue eyes?
c. If their first child has brown eyes, what is the probability that their next child will also have brown eyes?
Eye color in humans is determined by a single pair of genes. If both genes are blue-eyed genes, then the person will have blue eyes; if they are both brown-eyed genes, then they will have brown eyes; and if one is a blue-eyed gene and the other is brown-eyed gene, then the person will have brown eyes. A baby receives one gene from each of its parents and the gene it receives is equally likely to be either of the two genes of that parent.
Suppose that Mario and both of his parents have brown eyes, but that his sister has blue eyes.
(a) What is the probability that Mario possesses a blue-eyed gene?
(b) Suppose that Mario’s wife has blue eyes. What is the probability that a child of theirs will have blue eyes?
(c) If their first child has brown eyes, what is the probability that their second child will also have brown eyes?
Each of us has an ABO blood type. We get this blood type by inheriting two alleles-one from our
mother and one from our father. Each of these alleles can be A, B, or O and the combination of the
two that we inherit determines our blood type. The table below explains the combinations of
alleles and the blood types those combinations produce.
Blood Type
Alleles Inherited
A and A
A and B
A and O
B and B
B and O
O and O
A
AB
A
B
B
O
Harper has alleles A and O (therefore blood type A) and Taylor has alleles A and B (therefore blood
type AB). On your own paper, fill in the chart of the possible combinations of alleles that their
children could inherit:
allele from
Taylor
A
B
allele from Harper
A
O
Then list the possible blood types their children can have and the probabilities of each type.
Sickle cell anemia is an inherited disease in which red blood cells become distorted and
deprived of oxygen. A person with two sickle cell genes will have the disease, but a
person with only one sickle cell gene will have a mild, nonfatal anemia called sickle
cell trait. If we use s to represent
a sickle cell gene, and S a healthy gene, the
table shows the four possibilities for the
children of one healthy, SS parent, and one
parent with sicke cell trait, Ss. Find the
probability that these parents give birth to a
child who has sickle cell anemia.
S
Healthy
First Parent S
Second Parent
(with Sickle
Cell Trait)
S
SS
SS
The probability that the parents give birth to a child who has sickle cell anemia =
(Type an integer or a simplified fraction.)
S
Ss
Ss
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