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.

  1. 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

 

  1. 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

  1. What is the probability of having a dominant gene for all three traits?
  2. What is the probability of being recessive for all three traits?
  3. What is the probability of being dominant for 2 and recessive for one?
  4. 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

Potato Osmosis Writeup

Potato Osmosis Lab Write up

Introduction

  • Explain the importance of water to the cell (60-90%, universal solvent, etc.)
  • Explain the parts of a solution (solute & solvent) and what is meant by the solution’s concentration
  • Discuss semipermeable cell membranes and osmosis
  • Explain what determines direction of movement of water into and out of the cell (solute concentration inside & outside the cell, water potential, down the concentration gradient, etc.)
  • Explain the effect of water loss and water gain on plant cells

Hypothesis
(write objective from lab.)

Materials
The materials used include …

Procedure
Day 1
Use a knife to … (No numbers; write in paragraph form)

Procedure
Day 2
Carefully remove the … (No numbers; write in paragraph form)

Results

Data Table

1. Did any of the …
answer

Conclusion

  • Restate the hypothesis
  • Discuss the original mass and original appearance of the potato cores
  • Discuss the mass change (if any0 and flexibility of the cores after 24 hours in the solutions
  • Explain the change of mass in each core telling WHY THE MASS CHANGE OCCURRED (movement of the water & in which direction & why it moved that way)
  • Explain the change in flexibility of the cores (why were they stiffer or more flexible)
  • Make a final statement about concentration gradient & movement of water across cell membranes

 

Preap Chemistry Study Guide

 

Chemistry Review   

 

1. Everything in the universe is made of __________________________________.

2. The measurement of the amount of matter in an object is called ___________________.

3. What are the Three States of matter?
A.____________________________________
B.____________________________________
C.____________________________________

4. Charged particles that move around an atom’s nucleus are called ________________________.

5. Chemical bonds are broken, atoms are rearranged, and new bonds are formed during _______________________________  ______________________________.

6. Atoms with filled outermost energy levels tend _____________ to participate in chemical reactions.

7. A pure substance that cannot be broken down is called an _____________________.

8. The simplest part of an element is an ____________________.

9. The central core of an atom is called the _____________________________.

10. In an ionic bond, __________ atoms of ________________ charge are held together by _________________________ attraction.

11. The part of an atom that has a neutral charge is a _______________________.

12. Most of the mass of an atom is found in the _____________________.

13. A pure substance made up of atoms of one or more elements is called a ____________________________.

14. Most atoms tend to undergo ____________________  _________________, combining in ways that cause their atoms to become more ____________________.

15.When two atoms share one or more electrons, it is called ____________________________  ______________________.

16. A bond formed by electrical attraction between two opposite charged ions is called ______________________  ____________________.

17. The ability to do work or cause change is _____________________.

18. A redox reaction involves the _____________________ of ___________________ between atoms.

19. The amount of energy needed to start a chemical reaction is the reaction’s _________________________  ___________________.

20. A substance that neutralizes small amounts of acids or bases added to a solution is a _______________________.

21. A chemical reaction that can proceed forward or backward is a ______________________  ______________________.

22. Sodium chloride (table salt) is an example of a compound formed by ______________ _________________.

23.The positive charge part of an atom is called a ___________________________.

24. A particle composed of one or more atoms is a ________________________.

25. Chemical reactions that release free energy are called ____________________________ ____________________________.

26. Chemical reactions that absorb free energy are called ____________________________ _______________________________.

27. The loss of one or more electrons is called ______________________.

28. The gaining of one or more electrons is called _______________________.

29. The breaking apart of water molecules into two ions of opposite charge is called ___________________________________.

30. An atom has six electrons, what is it atomic number? ____________  Name?___________  It is a stable or unstable atom? _________________.

DIRECTIONS: Read Chapter 2, Chemistry, and Answer the questions below as completely and as thoroughly as possible. Answer the question in essay form (not outline form), using complete sentences. You may use diagrams or pictures to supplement your answers, but a diagram or picture alone without appropriate discussion is inadequate.

1. Describe the dissociation of water.

2. Define acid and base. What is a buffer?

3. List TWO characteristics of Acids and TWO Characteristics of Bases.

4. Describe the relationship between the solute, the solvent, and the concentration of a solution.

5. How does an ionic bond differ from a covalent bond?

6. Why is it necessary for oxidation and reduction reactions to occur in pairs?

7. Define the Three States of Matter?

8. State the difference between endergonic and exergonic reactions.

9. What is the role of enzymes in chemical reactions occurring in living things? Explain how a catalyst affects a reaction.
10.  What is the pH Scale, and what does its range of values mean?
11.  Draw and Label a model of a Chlorine (Cl) atom. Is this atom stable? Why or Why not?
12. Describe the difference between an oxidation and reduction reaction.

13. An oxygen atom has six electrons in its outermost energy level. Explain why two oxygen atoms must share four electrons when they form a covalent bond.

 

 

PowerPoints Dragonfly Book Prent

 

PowerPoints Dragonfly Book
Prentice-Hall

 

 

Science of Biology
1.1   1.2   1.3   1.4
Introduction to Genetics
1.1   1.2   1.3   1.4
Fungi
1.1   1.2   1.3
Chemistry of Life
1.1   1.2   1.3   1.4
DNA and RNA
1.1   1.2   1.3   1.4   1.5
Plant Diversity
1.1   1.2   1.3   1.4   1.5
Biosphere
1.1   1.2   1.3
Genetic Engineering
1.1   1.2   1.3   1.4
Roots, Stems, & Leaves
1.1   1.2   1.3   1.4   1.5
Ecosystems & Communities
1.1   1.2   1.3   1.4
Human Genome
1.1   1.2   1.3  
Seed Plant Reproduction
1.1   1.2
Population
1.1   1.2   1.3
Theory of Evolution
1.1   1.2   1.3
Sponges and Cnidarians
1.1   1.2   1.3  
Humans in the Biosphere
1.1   1.2   1.3   1.4
Evolution of Populations
1.1   1.2   1.3
Worms and Mollusks
1.1   1.2   1.3   1.4
Cell Structure & Function
1.1   1.2   1.3
History of Life
1.1   1.2   1.3   1.4
Arthropods and Echinoderms
1.1   1.2   1.3
Photosynthesis
1.1   1.2   1.3
Classification
1.1   1.2   1.3
Comparing Invertebrates
1.1   1.2
Cellular Respiration
1.1   1.2  
Bacteria and Viruses
1.1   1.2   1.3
Fish and Amphibians
1.1   1.2   1.3
Cell Growth & Division
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Protists
1.1   1.2   1.3   1.4   1.5
Reptiles and Birds
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Mammals
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