Some traits of plants and animals depend on inheritance of a single gene. This is called Mendelian inheritance, after Gregor Mendel (1822-1884). Each of us has an ABO blood type, which describes whether two characteristics called A and B are present. Every human being has two blood type alleles (gene forms), one inherited from our mother and one from our father. Each of these alleles can be A, B, or O. Which two we inherit determines our blood type. Here is a table that shows what our blood type is for each combination of two alleles.   Alleles inherited Blood type   A and A A A and B AB A and O A B and B B B and O B O and O O     We inherit each of a parent's two alleles with probability 0.5. We inherit independently from our mother and father. What is the probability that both children have different blood types?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Some traits of plants and animals depend on inheritance of a single gene. This is called Mendelian inheritance, after Gregor Mendel (1822-1884). Each of us has an ABO blood type, which describes whether two characteristics called A and B are present. Every human being has two blood type alleles (gene forms), one inherited from our mother and one from our father. Each of these alleles can be A, B, or O. Which two we inherit determines our blood type. Here is a table that shows what our blood type is for each combination of two alleles.

 
Alleles inherited Blood type
 
A and A A
A and B AB
A and O A
B and B B
B and O B
O and O O
 
 
We inherit each of a parent's two alleles with probability 0.5. We inherit independently from our mother and father.

What is the probability that both children have different blood types?
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