Using IESVE for Loads, Sizing and Heat Pump Modeling to Achieve Decarbonization
Probability+and+heredity
1. Key Concepts
•What is probability and how does it help
explain the results of genetic crosses?
•Whatis meant by genotype and
phenotype?
•What is codominance?
3. Principles of Probability
Probability – a number that describes
how likely it is that an event will occur
Mathematics of probability – In a coin
toss there are 2 possible outcomes. The
coin can land heads up or tails up. Each
result has an equal chance of occurring
– 1 out of 2.
Probability can be expressed as a ratio,
fraction orpercent – 1:2, ½, or 50%
4. Percentage
• Percentage – a number compared to 100
• If 3 out of 5 coins land with heads up. The
percentage is calculated as follows:
l 3 out of 5 = 3/5
3/5 x 100% = 60%
• Practice:
Suppose 3 out of 12 coins landed with tails up.
How can you express this as a percentage?
6. Independence of Events
The results of one coin toss do not affect
the results of subsequent coin tosses
Each event occurs independently
Ex. If you toss a coin 5 times and it
lands heads up each time. What is the
probability that it will land heads up on
the next toss?
8. Probability and Genetics
• Mendel was the first to recognize that the
principles of probability could be used to
predict the results of genetic crosses
• When he crossed the two plants that were
hybrids for stem height, ¾ had tall stems
and ¼ had short stems
• The probability of such a cross producing
tall stems was 3 in 4. The probability of
producing short stems was 1 in 4
9. Punnett Squares
A chart that shows all the possible
combinations of alleles that can result
from a genetic cross
10. To make a Punnett square
• 1. draw a box and divide it into 4 boxes
• 2. Write male parent’s alleles along the top
and female parent’s alleles along the side
R r
R
r
11. Punnett Square
3. Copy the female parent’s alleles into the
boxes to their right
R r
R R R R
r
r r
4. Copy the male parent’s alleles into the boxes
beneath them
R r
R RR Rr
r Rr rr
12. Using a Punnett Square
The Punnett square show all the
possible allele combinations in the
offspring
In a genetic cross the
allele that a parent
passes on to an
offspring is based on
probability
13. Predicting Probabilities
Punnett squares can be used
to predict probabilities.
If a purebred pink flamingo is
crossed with a purebred blue
flamingo. There is a 100%
probability that the offspring
will be pink
14. Phenotypes and Genotypes
Phenotype – an organism’s physical
appearance, or visible traits (what you
see)
Genotype – genetic makeup, or allele
combination
The genotypes Tt and TT have the
same phenotype – tall
The genotype tt has the phenotype short
15. Phenotypes and Genotypes
Homozygous- an organism that has
two identical alleles for a trait
Ex. TT or tt
Heterozygous – an organism that has
two different alleles for a trait. Also
called hybrid
Ex.Tt
16. Codominance
Not all traits
have alleles
that are
dominant or
recessive.
Codominance –
both alleles are
expressed in
the offspring