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Heredity, Genetics
Punnett Squares & Probability
        Mr. Miller
Lets find out if the two pigeons on
the left produce offspring that have
the traits of the pigeon on the right
To do this we must
  understand how to use a
      Punnet Square
What is a Punnet Square?

• A chart that allows us to determine
  the different genotypes that
  offspring can inherit from their
  parents
Lets see how to use it
• First we must get the genotype of each
  parent

Example:

T: allele for tallness
t: allele for shortness

             tt – mothers genotype
             Tt – fathers genotype
Now lets set up the Punnet
          Square

         T           t

t    T t         t t

t    T       t   t       t
What are the number of genotypes
    for the traits the offspring can
                 inherit?
•The offspring can
inherit two sets of
genes that will
                          T    t
produce a tall
phenotype


•The offspring can
                      t   Tt   tt
inherit two sets of
genes that will       t   Tt   tt
produce a short
phenotype
Now lets talk about
           probability
What is probability?

Probability is the chance that an event will occur

How do you find the probability of an event?

You must know:
• the number of specific events
• the number of possible events
Lets find the probability the
       child will be tall
How many              T    t
genotypes will
produce a tall
offspring? 2      t   Tt   tt
What are number
of possible
genotypes? 4
                  t   Tt   tt
Now lets find the probability!

 Probability =

Number of specific event      2    1
Number of possible events     4    2

The probability of having a tall
 offspring is ½, 1:2, or 50%
Now try this one
  Determine the types of
  genes an offspring can
  inherit from parents that
                                  Z z
  have the following
  genotypes:
                               Z Z Z Zz
Zz - father’s genotype
Zz - mother’s genotype
                               z Zz   zz
Z: gene for gray feathers

z: allele for white feathers
Now lets look at the possible genotypes and
  the phenotypes that will be expressed

 There is a single
 possibility of inheriting
 a homozygous (pure)            Z z
 dominant genotype
 which will produce a
 phenotype with grey
                             Z Z Z Zz
 feathers
 There are two
 possibilities of
                             z Zz   zz
 inheriting
 heterozygous (hybrid)
 genotypes which will
 produce a phenotype
 with grey feathers
Now lets look at the possible genotypes and
  the phenotypes that will be expressed

 There is a single
 possibility of inheriting
 a homozygous (pure)
                                Z z
                             Z Z Z Zz
 recessive genotype
 which will produce a
 phenotype with white
 feathers
                             z Zz   zz
 So two grey birds can
 produce a pigeon with
 white feathers!
Now lets find the probability
                                 Z    z
 Lets find the                   ZZ   Zz
                            Z
 probability the
 offspring will have        z    Zz   zz
 grey feathers.

number of specific events    3
number of possible events
                            =4
Now lets find the probability
                                 Z    z
 Lets find the                   ZZ   Zz
                            Z
 probability the
 offspring will have        z    Zz   zz
 white feathers.

number of specific events    1
number of possible events
                            =4
Vocabulary

• Probability: A number that
  describes how likely it is that an
  event will occur.
• Punnett Square: A chart that
  shows all the possible combination
  of alleles that can result from a
  genetic cross.
Vocabulary

• Phenotype: An organism’s physical
  appearance, or visible traits.
• Genotype: An organism’s genetic
  makeup or allele combination.
• Homozygous: An organism that
  has two identical alleles for a trait.
Vocabulary

• Heterozygous: An organism that
  has different alleles for a trait.
• Codominance: When alleles are
  neither dominant nor recessive. As
  a result, both alleles are expressed
  in the offspring.

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4.2

  • 1. Heredity, Genetics Punnett Squares & Probability Mr. Miller
  • 2. Lets find out if the two pigeons on the left produce offspring that have the traits of the pigeon on the right
  • 3. To do this we must understand how to use a Punnet Square What is a Punnet Square? • A chart that allows us to determine the different genotypes that offspring can inherit from their parents
  • 4. Lets see how to use it • First we must get the genotype of each parent Example: T: allele for tallness t: allele for shortness tt – mothers genotype Tt – fathers genotype
  • 5. Now lets set up the Punnet Square T t t T t t t t T t t t
  • 6. What are the number of genotypes for the traits the offspring can inherit? •The offspring can inherit two sets of genes that will T t produce a tall phenotype •The offspring can t Tt tt inherit two sets of genes that will t Tt tt produce a short phenotype
  • 7. Now lets talk about probability What is probability? Probability is the chance that an event will occur How do you find the probability of an event? You must know: • the number of specific events • the number of possible events
  • 8. Lets find the probability the child will be tall How many T t genotypes will produce a tall offspring? 2 t Tt tt What are number of possible genotypes? 4 t Tt tt
  • 9. Now lets find the probability! Probability = Number of specific event 2 1 Number of possible events 4 2 The probability of having a tall offspring is ½, 1:2, or 50%
  • 10. Now try this one Determine the types of genes an offspring can inherit from parents that Z z have the following genotypes: Z Z Z Zz Zz - father’s genotype Zz - mother’s genotype z Zz zz Z: gene for gray feathers z: allele for white feathers
  • 11. Now lets look at the possible genotypes and the phenotypes that will be expressed There is a single possibility of inheriting a homozygous (pure) Z z dominant genotype which will produce a phenotype with grey Z Z Z Zz feathers There are two possibilities of z Zz zz inheriting heterozygous (hybrid) genotypes which will produce a phenotype with grey feathers
  • 12. Now lets look at the possible genotypes and the phenotypes that will be expressed There is a single possibility of inheriting a homozygous (pure) Z z Z Z Z Zz recessive genotype which will produce a phenotype with white feathers z Zz zz So two grey birds can produce a pigeon with white feathers!
  • 13. Now lets find the probability Z z Lets find the ZZ Zz Z probability the offspring will have z Zz zz grey feathers. number of specific events 3 number of possible events =4
  • 14. Now lets find the probability Z z Lets find the ZZ Zz Z probability the offspring will have z Zz zz white feathers. number of specific events 1 number of possible events =4
  • 15. Vocabulary • Probability: A number that describes how likely it is that an event will occur. • Punnett Square: A chart that shows all the possible combination of alleles that can result from a genetic cross.
  • 16. Vocabulary • Phenotype: An organism’s physical appearance, or visible traits. • Genotype: An organism’s genetic makeup or allele combination. • Homozygous: An organism that has two identical alleles for a trait.
  • 17. Vocabulary • Heterozygous: An organism that has different alleles for a trait. • Codominance: When alleles are neither dominant nor recessive. As a result, both alleles are expressed in the offspring.