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Punnett Squares
Punnett Squares
• A Punnett square is a grid that enables
one to predict the outcome of simple
genetic crosses
• Proposed by the English geneticist,
Reginald Punnett
Plant genes can have dominant and recessive alleles
… a red flower
r
The recessive
allele r produces …
… a white flower
R
The dominant allele
R produces …
Example:
A genetic cross in plants: Rr x Rr
There is only one way to make a homozygous plant with
two dominant genes…
R R RR
… and only one way to make a homozygous plant with
two recessive genes
rrr r
In the genetic cross Rr x Rr there are two ways of
making a heterozygous plant…
R r
Rr
Rr
Rr
OR
… so, heterozygous offspring are twice as likely as either
homozygous dominant or homozygous recessive offspring
We can show the likeliness or probability of different
genotypes in different ways:
1. As a percentage - Probability of RR is…
¼
½
25%
Probability of Rr is… 50%
Probability of rr is… 25%
2. As a fraction - Probability of RR is…
Probability of Rr is…
Probability of rr is… ¼
3. As a ratio - RR : Rr : rr = 1 : 2 : 1
There are three ways to make a plant with red flowers…
R R RR
R r
r R
Rr
Rr
… one produces a homozygous plant…
… and two produce heterozygous plants…
…but, there is only one way to produce a plant with white
flowers…
rrr r
So, in the genetic cross, Rr x Rr…
…red flowers are three
times more likely than
white flowers!!!
We can show the likeliness or probability of different
phenotypes in different ways:
1. As a percentage - Probability of red is…
¾
¼
75%
Probability of white is… 25%
2. As a fraction - Probability of red is…
Probability of white is…
3. As a ratio - red : white = 3 : 1
The Punnett Square
We can use the Punnett Square to work out the probability of
the different genotypes and phenotypes in a genetic cross
Step 1: Write down the genotypes of the parents.
= Rr x Rrx
Step 2: Write down the genotypes of the gametes that
each parent produces.
pollen Egg
cells
= R + r = R + r
Step 3: Draw your Punnett Square
Step 4: Write the genotype
of the different gametes
into your Punnett Square
Step 5: Write in the
different ways in which the
gametes can be combined…
Egg cells
Pollen
R r
R
r
R R R r
r R r r
…this shows you the
possible genotypes of the
offspring Genotypes of
offspring
Egg cells
Pollen
R r
R
r
R R R r
r R r r
Probability of Genotypes
There are four possible ways to
combine egg cells and pollen
Count up how many times
each genotype appears in
the Punnet Square – this
gives you its probability:
¼Probability of RR is…
Probability of Rr is…
Probability of rr is… ¼
= 25 %
= ½2
4
= 25 %
= 50 % The ratio of
RR : Rr : rr is…
1 : 2 : 1
Egg cells
Pollen
R r
R
r
R R R r
r R r r
Probability of Phenotypes
Look at the genotypes of the
offspring in your Punett Square…
…decide which phenotype
each one should produce.
Count up how many times
each phenotype appears in
the Punnet Square – this
gives you its probability:
Probability of red is… ¾ = 75 %
Probability of white is… ¼ = 25 %
The ratio of
red : white is…
3 : 1
Mendel’s Experiments
• Mendel also performed dihybrid crosses
– Crossing individual plants that differ in two
traits
• For example
– Trait 1 = Seed texture (round vs. wrinkled)
– Trait 2 = Seed color (yellow vs. green)
• There are two possible patterns of
inheritance for these traits
Figure 2.7
Figure 2.8
315 round, yellow
seeds
101 wrinkled, yellow
seeds
108 round, green seeds
32 green, wrinkled
seeds
All round,
yellow
Round,
Yellow seeds
X wrinkled,
green seeds
F2 generationF1
generation
P Cross
DATA FROM ONE OF MENDEL’S DIHYBRID CROSSES
Interpreting the Data
• The F2 generation contains seeds with
novel combinations not found in the
parentals
– Round and Green
– Wrinkled and Yellow
• These are nonparentals
• Occurrence contradicts the linkage
model
• Independent assortment is also revealed by a
dihybrid test-cross
– TtYy X ttyy
• Thus, if the genes assort independently, the
expected phenotypic ratio among the offspring
is 1:1:1:1
Dihybrid
Punnett
Square
Forked-line Method (fork
diagram)
• Calculate predicted ratios of offspring
by multiplying probabilities of
independent events
P yellow, round x green, wrinkled
Fork Diagram for Trihybrid
Cross

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Punnettsquares 120402082051-phpapp02

  • 2. Punnett Squares • A Punnett square is a grid that enables one to predict the outcome of simple genetic crosses • Proposed by the English geneticist, Reginald Punnett
  • 3. Plant genes can have dominant and recessive alleles … a red flower r The recessive allele r produces … … a white flower R The dominant allele R produces … Example:
  • 4. A genetic cross in plants: Rr x Rr There is only one way to make a homozygous plant with two dominant genes… R R RR … and only one way to make a homozygous plant with two recessive genes rrr r
  • 5. In the genetic cross Rr x Rr there are two ways of making a heterozygous plant… R r Rr Rr Rr OR … so, heterozygous offspring are twice as likely as either homozygous dominant or homozygous recessive offspring
  • 6. We can show the likeliness or probability of different genotypes in different ways: 1. As a percentage - Probability of RR is… ¼ ½ 25% Probability of Rr is… 50% Probability of rr is… 25% 2. As a fraction - Probability of RR is… Probability of Rr is… Probability of rr is… ¼ 3. As a ratio - RR : Rr : rr = 1 : 2 : 1
  • 7. There are three ways to make a plant with red flowers… R R RR R r r R Rr Rr … one produces a homozygous plant… … and two produce heterozygous plants…
  • 8. …but, there is only one way to produce a plant with white flowers… rrr r So, in the genetic cross, Rr x Rr… …red flowers are three times more likely than white flowers!!!
  • 9. We can show the likeliness or probability of different phenotypes in different ways: 1. As a percentage - Probability of red is… ¾ ¼ 75% Probability of white is… 25% 2. As a fraction - Probability of red is… Probability of white is… 3. As a ratio - red : white = 3 : 1
  • 10. The Punnett Square We can use the Punnett Square to work out the probability of the different genotypes and phenotypes in a genetic cross Step 1: Write down the genotypes of the parents. = Rr x Rrx Step 2: Write down the genotypes of the gametes that each parent produces. pollen Egg cells = R + r = R + r
  • 11. Step 3: Draw your Punnett Square Step 4: Write the genotype of the different gametes into your Punnett Square Step 5: Write in the different ways in which the gametes can be combined… Egg cells Pollen R r R r R R R r r R r r …this shows you the possible genotypes of the offspring Genotypes of offspring
  • 12. Egg cells Pollen R r R r R R R r r R r r Probability of Genotypes There are four possible ways to combine egg cells and pollen Count up how many times each genotype appears in the Punnet Square – this gives you its probability: ¼Probability of RR is… Probability of Rr is… Probability of rr is… ¼ = 25 % = ½2 4 = 25 % = 50 % The ratio of RR : Rr : rr is… 1 : 2 : 1
  • 13. Egg cells Pollen R r R r R R R r r R r r Probability of Phenotypes Look at the genotypes of the offspring in your Punett Square… …decide which phenotype each one should produce. Count up how many times each phenotype appears in the Punnet Square – this gives you its probability: Probability of red is… ¾ = 75 % Probability of white is… ¼ = 25 % The ratio of red : white is… 3 : 1
  • 14. Mendel’s Experiments • Mendel also performed dihybrid crosses – Crossing individual plants that differ in two traits • For example – Trait 1 = Seed texture (round vs. wrinkled) – Trait 2 = Seed color (yellow vs. green) • There are two possible patterns of inheritance for these traits
  • 17. 315 round, yellow seeds 101 wrinkled, yellow seeds 108 round, green seeds 32 green, wrinkled seeds All round, yellow Round, Yellow seeds X wrinkled, green seeds F2 generationF1 generation P Cross DATA FROM ONE OF MENDEL’S DIHYBRID CROSSES
  • 18. Interpreting the Data • The F2 generation contains seeds with novel combinations not found in the parentals – Round and Green – Wrinkled and Yellow • These are nonparentals • Occurrence contradicts the linkage model
  • 19. • Independent assortment is also revealed by a dihybrid test-cross – TtYy X ttyy • Thus, if the genes assort independently, the expected phenotypic ratio among the offspring is 1:1:1:1
  • 21. Forked-line Method (fork diagram) • Calculate predicted ratios of offspring by multiplying probabilities of independent events P yellow, round x green, wrinkled
  • 22. Fork Diagram for Trihybrid Cross