Grade 12 Applied – Unit A – Probability

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A-1  Unit A – Probability and Permutations and Combinations Notes. Class notes for Probability and Permutations and Combinations.  This unit is a combination of Probability with Unit E Combinatorics

A-2 YouTube Play List for the Unit.  The entire unit in a couple dozen videos!  But remember, watching is not a good way to learn.  You still need to doodle, explore on your own and in class!

A-3 Worksheets and Selected possible assignments: (you can always work ahead someytimes even if not specifically assigned!)
Due Dates as per Blog(s)

  1. Probability Introduction  (Assgt A-;   )
  2. Experimental and Theoretical Probability  (Assgt A–  )
  3. Theoretical and Experimental Probability Puzzle (A–   )
  4. Probability Odds. (Assgt A–  )
  5. Counting Pathways  (Assgt A-, )
  6. Sample Space  (Assgt A–  )
  7. Fundamental Counting Principle (FCP)  [  Assgt A-]
  8. Simple Permutations Practice []
  9. Counting and Permutations Puzzle  (Assgt A-  )
  10. Distinguishable Arrangements. (A-)  What happens if you have several identical objects in a set
  11. Permutations Fun   [Not Hand-in, try if you dare, see the movie: Permutations Fun!]
  12. Licence Plates Activity [   ]
  13. Simple Combinations Practice. []
  14. Simple Perms and Combs Practice.  []
  15. Combinations Puzzle    Combination Puzzle:  ]
  16. Dependent-Independent Worksheet  (]
  17. Dependent-Independent Puzzle  [Assgt A-;  ]
  18. Dependent Probability Worksheet.  [Assgt A-; ]
  19. Dependent or Independent Worksheet.  [    !  ]
  20. Adding Probabilities – Using ‘Or’.  [ ]  [Omit Question 2, too cumbersome]
  21. Adding Probabilities – Mutually Exclusive.  []
  22. Probability Practice Hidden Picture  [A-]
  23. Probability Review  [individual study]
  24. Some Common Sample Spaces.  For those unfamiliar with cards or dice!

A-4  Five Part Video Series Probability.  A great five part series in 15 minutes.

A-5 Workbooks. Some 20 to 30 page workbooks (many with answers) for Units A and E.

  1. Unit A – Probability Workbook. MINI_Version
  2. Unit E – Permutations & Combinations Workbook. MINI Version
  3. Want more?  Our Review Package:  50 Past Exam Questions.  In Mini Form.
  4. 20 Pages of Solved Permutations and Combinations Problems
  5. The foremost (advanced) Probability and Combinatorics (and More) Reference.
  6. Pre-Calculus Probability Review – 24 pages of questions with answers from 20 years ago!
  7. Pre-Calculus Permutations and Combinations Practice Exam.  Former excellent Pre-Calculus website material, long since disappeared. (no answers)
  8. Pre-Calculus Probability Practice Exam.  Another excellent resource at Pre-Calculus Level from defunct but excellent website.

A-4  PLINKO!  Check out Pascal’s Triangle for combinations and pathways!!  Perfect animation game.

A-6  Probability Quiz.  Quiz yourself on-line.  Get your score.

A-7 Theoretical Probability.  Great notes on Theoretical Probability
A-8 Algebra Lab Lesson – Introduction to Probability.  A good website.
A-8
A-12 Probability – Certain and Impossible Events.  Math Goodies website.
A-13 The Complement of an Event.   The complement is just the NOT of something!
A-14 Permutations and Combinations – Math Forum.  Ask Doctor Math!  A good introduction to Permutations and Combinations
A-15  Factorial Notes. What is a factorial?
A-16 Permutations.  A good explanation of permutations.  Remember!  The order does matter in permutations.
A-17 Combinations.  A Good Explanation of Combinations.  In combinations the order does not matter.

A-20 Table of Perms and Combs. Often, seeing a table is way better than just using a calculator!  Much easier to see patterns. Besides, most of your teachers never had calculators in the mid 1970s, we only had tables at the back of a book!  Or else we had to calculate manually.

A-21 Permutations and Combinations Calculator. An awesome calculator for calculating Permutations and Combinations and showing all the resulting arrangements too!

A-22  Some on line games, Quizzes, Interactives:

  1. Basic Probability Quiz.
  2. Quiz- Perms and Combs.  Score yourself!  Fun for the whole family.
  3. Plinko.  Awesome demonstration of Pascal Triangle and Combinations
  4. Interactive – Coin Toss.  Toss a single coin as often as you want.  See if it is fair!
  5. Interactive – Experimental Probability.  What do you expect should happen according to theory, what happens when you do the experiment?  Are they close?
  6. Interactive – Experimental Probability.  Another way t0 experiment .
  7. Interactive – Marbles.  Throw some different or same marbles in a bag!  See the probability of pulling out certain combinations, permutations
  8. Interactive – Venn Diagram.  A method to show compound events.
  9. On Line Probability Test – Flipping Coins.

A-24 Compound Events Notes.  Great 4 pages of notes on Compound Events. For example the probability of two things happening like you win the lottery AND you get hit by a bus!

A-33 Video – Billy Nye – Probability.  Check out this great introduction to Probability from Bill Nye the Science Guy! In three parts: See me, I have a DVD!

A-40  Extra Worksheets:

Selection of worksheets Combined.

Glossary (Word of the Day]

Complement
(in Probability)
Decimals, Fractions,
Percents
Event
Odds Experimental Probability Outcome
Percentage Probability Lottery
Random Simplify Fraction Sample Space
Tree Diagram Independent Event Conditional Event

Animated Gifs say it all: