Dr. Paul is blood type O. His father was blood type A and his mother was blood type B. What were the genotypes of his parents and what are the possible blood types and ratios expected for crosses involving these parental genotypes?

Dr. Paul must have received an O gene from each parent, but they also had A (dad) and B (mom) genes. That should give you their genotypes. Using a Punnett square should answer your last question. (See one of SraJMcGin's sources.)

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To determine the genotypes of Dr. Paul's parents, we need to understand how blood types are inherited.

Blood type is determined by the presence or absence of specific antigens on the surface of red blood cells. There are four main blood types: A, B, AB, and O. Each blood type is determined by the presence or absence of two alleles: A and B. The O blood type is caused by two recessive alleles, usually represented as "oo." The A blood type is caused by either two A alleles ("AA") or one A allele and one O allele ("AO"). The B blood type is caused by either two B alleles ("BB") or one B allele and one O allele ("BO").

Based on the information given, we know that Dr. Paul is blood type O, which means he has two O alleles ("OO"). We also know that his father was blood type A and his mother was blood type B.

Let's consider the possible genotypes of Dr. Paul's parents:

Father's genotype:
- Since the A blood type is dominant over the O blood type, Dr. Paul's father could have been either "AA" or "AO."

Mother's genotype:
- Since the B blood type is dominant over the O blood type, Dr. Paul's mother could have been either "BB" or "BO."

Now, let's examine the possible blood types and ratios expected for crosses involving these parental genotypes:

Possible blood types of offspring:
- If Dr. Paul's father was "AA" and his mother was "BB," their child would have been blood type AB.
- If Dr. Paul's father was "AA" and his mother was "BO," their child would have had a 50% chance of being blood type A (AA) and a 50% chance of being blood type B (AB).
- If Dr. Paul's father was "AO" and his mother was "BB," their child would have had a 50% chance of being blood type A (AO) and a 50% chance of being blood type B (BO).
- If Dr. Paul's father was "AO" and his mother was "BO," their child would have had a 25% chance of being blood type A (AA or AO), a 25% chance of being blood type B (BB or BO), and a 50% chance of being blood type AB.

Ratios of possible blood types:
- If both parents have blood type A (AA) and Dr. Paul's blood type is O (OO), then the ratio of possible blood types for their children would be 100% blood type A (AO).
- If one parent has blood type A (AA) and the other has blood type B (BB), the ratio of possible blood types for their children would be 100% blood type AB.
- If one parent has blood type A (AA) and the other has blood type B (BO), the ratio of possible blood types for their children would be 50% blood type A (AO) and 50% blood type AB.
- If one parent has blood type A (AO) and the other has blood type B (BB), the ratio of possible blood types for their children would be 50% blood type A (AO) and 50% blood type AB.
- If one parent has blood type A (AO) and the other has blood type B (BO), the ratio of possible blood types for their children would be 25% blood type A (AA or AO), 25% blood type B (BB or BO), and 50% blood type AB.

Please note that these calculations are based on the assumption that both parents have no other contributing alleles for blood type. It's also important to remember that these ratios represent the expected outcomes on average, and there can always be variations due to random genetic combinations.

To determine the genotypes of Dr. Paul's parents, we need to consider blood type inheritance. The ABO blood type system is governed by three alleles: A, B, and O. The A and B alleles are dominant, while the O allele is recessive.

We know that Dr. Paul's blood type is O, and since blood type O is recessive, he must have two O alleles (genotype OO).

Now, let's work backward and deduce the genotypes of his parents:

1. Dr. Paul has blood type O (genotype OO).
2. His father was blood type A.

Since blood type A is dominant to O, his father could have either the genotype AO (one A allele, one O allele) or AA (two A alleles).

3. His mother was blood type B.

Similarly, blood type B is dominant to O, so his mother could have either the genotype BO (one B allele, one O allele) or BB (two B alleles).

Now, let's consider the possible blood types and ratios expected for crosses involving these parental genotypes:

1. If Dr. Paul's father had the genotype AO (one A allele, one O allele) and his mother had the genotype BO (one B allele, one O allele), the possible genotypes and blood types of their offspring are:
- AO x BO -> AO, BO, AB, OO (blood types A, B, AB, O)

2. If Dr. Paul's father had the genotype AO (one A allele, one O allele) and his mother had the genotype BB (two B alleles), the possible genotypes and blood types of their offspring are:
- AO x BB -> AB, AB, AB, OB (blood types AB, AB, AB, B)

3. If Dr. Paul's father had the genotype AA (two A alleles) and his mother had the genotype BO (one B allele, one O allele), the possible genotypes and blood types of their offspring are:
- AA x BO -> AO, AO, AB, BO (blood types A, A, AB, B)

4. If Dr. Paul's father had the genotype AA (two A alleles) and his mother had the genotype BB (two B alleles), the possible genotypes and blood types of their offspring are:
- AA x BB -> AB, AB, AB, AB (blood types AB, AB, AB, AB)

Therefore, the genotypes of Dr. Paul's parents could be either AO x BO, AO x BB, AA x BO, or AA x BB, and the possible blood types of their children are A, B, AB, and O. The ratios of these blood types would depend on the specific cross being considered.