
Category: My Classroom Material
Probability Notes Bi
| Probability | ![]() |
Probability Facts:
- Probability is the likelihood that an event will occur from random chance
- Probabilities are always between 0 and 1
- Probabilities can be written as fractions, decimals or percentages
- All possible events together must have a probability of 1
- The probability that an event will not occur is 0
- To find the probability of a particular event, we use this formula:
| Number of successful events (where a successful event is the result that you are looking ) |
||
| Probability of an event | = | ——————————————— |
| Total number of events |
- Whenever a coin is flipped, there is a 50% chance of getting heads & a 50% chance of getting tails.
- The chance of inheriting one of two alleles from a parent is also 50%
Applying Probability to Mendel’s Peas:
- During the late 1850’s, Gregor Mendel used the general rules of probability to explain the basic principles of heredity by breeding green peas in planned experiments
- Different versions of genes are called alleles
- For most genes, two alleles exist
- If an organism has two different alleles for the same gene, the dominant allele will be expressed in the phenotype of the organism, while the recessive allele will not
- Each parent will pass on one of its two alleles
Probability Laws:
- The Law of Multiplication or Product Rule states that the chance of two or more independent events occurring together is the product of the probability of the events occurring separately
Example: The chance of inheriting a specific allele from one parent & another allele from the other parent is 1/2 x 1/2 or 1/4 - The following table shows the probability of the offspring genotypes whenever two heterozygous parents are crossed:
| Parents Rr x Rr | ||
| Offpring RR | 1/2 x 1/2 = | 1/4 |
| Offpring Rr | 1/2 x 1/2 = | 1/4 |
| Offpring r r | 1/2 x 1/2 = | 1/4 |
Complete the following table for crossing 2 Homozygous parents:
| Parents RR x rr | ||
| Offpring Rr | ||
Click here for the correct answer
Example 1
Imagine we are rolling a fair dice. There are six equally likely outcomes: 1, 2, 3, 4, 5 and 6.
- What is the probability of getting a five?
In this case there is only one successful outcome or event, 5.
| Number of successful events | ||
| Probability of a five | = | ——————————————— |
| Total number of events | ||
| 1 | ||
| Probability of a five | = | ———- |
| 6 |
- What is the probability of getting an even number?
In this case there are 3 successful outcomes, which are 2, 4 and 6.
| Number of successful outcomes | ||
| Probability of an even number | = | ———————————— |
| Total number of outcomes | ||
| 3 | ||
| Probability of an even number | = | ———- |
| 6 | ||
| 1 | ||
| Probability of an even number | = | ———- |
| 2 |
Therefore the probability of getting an even number when rolling a dice is 50% or 1/2.
- Now apply these numbers to the dihybrid cross RrYy x RrYy Probability of being R_ Y_ is 3/4 x 3/4 = 9/16 Probability of being R_ y_ is 3/4 x 1/4 = 3/16 Probability of being r_Y_ is 1/4 x 3/4 = 3/16 Probability of being r ryy is 1/4 x 1/4 = 1/16 This matches our 9:3:3:1 phenotypic ratio.
Example Problem:
Work a trihybrid cross of heterozygous parents — RrYyGg x RrYyGg
- What is the probability of having a dominant gene for all three traits?
- What is the probability of being recessive for all three traits?
- What is the probability of being dominant for 2 and recessive for one?
- What is the probability of being dominant for 1 and recessive for two?
Click here for the correct answers
- The Law of Addition is used when considering the probability of either of two mutually exclusive events
- The individual probabilities of the 2 exclusive events are added
Example: The probability of selecting the three of clubs or any ace from the deck is the sum of the individual probabilities: Probability of selecting a three of clubs = 1/52
Probability of selecting any ace = 4/52
Total probability = 1/52 + 4/52 = 5/52
Probability Table
| Probability Answers
|
![]() |
| Parents RR x rr | ||
| Offpring Rr | 1 x 1 = | 1 |
Answers to trihybrid probabilities:
RrYyGg x RrYyGg
a. 3/4 x 3/4 x 3/4 = 27/64
b. 1/4 x 1/4 x 1/4 = 1/64
c. 3/4 x 3/4 x 1/4 = 9/64
d. 3/4 x 1/4 x 1/4 = 3/64
Project Due Dates
Project Due Dates
Last update August 9, 2010
Abstracts:
Due FIRST TUESDAY of each month!
ABSTRACTS
Cry of the Kalahari paper:
| Friday, October 29 | 1st quiz |
| Friday, November 12 | 2nd Quiz |
| Friday, December 3 | 3rd Quiz |
| Thursday, December 9 | Cry Paper Due! |
Leaf Collection Due:
Wednesday, September 27
Wildflower Collection Due:
Friday, May 13
Lab Reports Due:
| 1st nine WEEKS | |
| Lab 2 Enzyme Catalysis | |
| Lab 1 Osmosis & Diffusion | |
| 2ND NINE WEEKS | |
| Lab 4 Photosynthesis & Pigments | |
| Lab 5 Cellular Respiration | |
| Lab 3 Mitosis & Meiosis | |
| 3rd nine weeks | |
| Lab 8 Population Genetics | |
| Lab 6 Molecular Biology | |
| 4th nine weeks | |
| Lab 9 Transpiration | |
| Lab 10 Physiology of Circulation | |
| Lab 11 Behavior | |
| Lab 12 Dissolved Oxygen | |
| HOME |
BACK |
Properties of Water
| Properties of Water | ![]() |
Introduction:
Water’s chemical description is H2O. As the diagram to the left shows, that is one atom of oxygen bound to two atoms of hydrogen. The hydrogen atoms are “attached” to one side of the oxygen atom, resulting in a water molecule having a positive charge on the side where the hydrogen atoms are and a negative charge on the other side, where the oxygen atom is. This uneven distribution of charge is called polarity. Since opposite electrical charges attract, water molecules tend to attract each other, making water kind of “sticky.” As the right-side diagram shows, the side with the hydrogen atoms (positive charge) attracts the oxygen side (negative charge) of a different water molecule. (If the water molecule here looks familiar, remember that everyone’s favorite mouse is mostly water, too). This property of water is known as cohesion.
All these water molecules attracting each other mean they tend to clump together. This is why water drops are, in fact, drops! If it wasn’t for some of Earth’s forces, such as gravity, a drop of water would be ball shaped — a perfect sphere. Even if it doesn’t form a perfect sphere on Earth, we should be happy water is sticky. Water is called the “universal solvent” because it dissolves more substances than any other liquid. This means that wherever water goes, either through the ground or through our bodies, it takes along valuable chemicals, minerals, and nutrients.
Water, the liquid commonly used for cleaning, has a property called surface tension. In the body of the water, each molecule is surrounded and attracted by other water molecules. However, at the surface, those molecules are surrounded by other water molecules only on the water side. A tension is created as the water molecules at the surface are pulled into the body of the water. This tension causes water to bead up on surfaces (glass, fabric), which slows wetting of the surface and inhibits the cleaning process. You can see surface tension at work by placing a drop of water onto a counter top. The drop will hold its shape and will not spread.
In the cleaning process, surface tension must be reduced so water can spread and wet surfaces. Chemicals that are able to do this effectively are called surface active agents, or surfactants. They are said to make water “wetter.” Surfactants perform other important functions in cleaning, such as loosening, emulsifying (dispersing in water) and holding soil in suspension until it can be rinsed away. Surfactants can also provide alkalinity, which is useful in removing acidic soils.
Pre-Lab Questions (Click here)
Materials:
Box of small paper clips, small plastic container, eyedropper, cup, stirring rod, water, liquid soap, plastic tray
Procedure (Part A) Cohesiveness of Water:
- Estimate how many paper clips will fit into a completely full cup of water. Record this number in data table 1.
- Place your small container on a tray to contain any water that may spill.
- Fill a plastic cup with tap water.
- Pour tap water from your cup into your small container.
- Continue to add water by eyedropper until the top surface appears rounded.
- Slowly add paper clips one at a time to the cup keeping count of all paper clips that you add.
- Stop adding paper clips to the container whenever water spills from the top.
- Record your paper clip count. Compare the actual number of paper clips to the estimated number.
Procedure (Part B) Soap’s effect on Surface Tension:
- Again estimate how many paper clips will fit into a completely full cup of soapy water. Record this number in data table 2.
- Place your small container on a tray to contain any water that may spill.
- Fill a plastic cup with tap water.
- Add several drops of liquid soap & use a stirring rod to mix.
- Pour soapy water from your cup into your small container.
- Continue to add soapy water by eyedropper until the top surface appears rounded.
- Slowly add paper clips one at a time to the cup keeping count of all paper clips that you add.
- Stop adding paper clips to the container whenever water spills from the top.
- Record your paper clip count. Compare the actual number of paper clips to the estimated number.
Data:
Table 1
| Cohesiveness of Tapwater | ||
| Estimated Number of Paper Clips | Actual Number of paper Clips | Difference |
|
|
||
Table 2
| Cohesiveness of Soapy water | ||
| Estimated Number of Paper Clips | Actual Number of paper Clips | Difference |
|
|
||
Questions:
1. How did your estimated number compare to your actual number?
2. What happened to the surface of the water as more clips were added?
3. What property of water was shown in Part A?
4. How is this property of water used in nature?
5. Explain why water shows surface tension.
6. Explain why water is a polar molecule and include a diagram of several water molecules in a drop of water.
7. In order to clean a surface, what must happen to surface tension?
8. What is the job of a surfactant?
9. Name a surfactant used in Part B?
10. Using your data from Part B, explain what proof you gathered in Part B to support your answer to question 9.



