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Grade 12 Mathematical Literacy: modules and lessons

Explore Grade 12 Mathematical Literacy: 41 modules and 267 lesson entries. Use the dorKk lesson guide to plan revision and catch-up study.

dorKk provides pre-recorded CAPS-aligned video lessons for self-paced study alongside schoolwork. Choose a module below, find the lesson that matches your classwork, and use the sequence to identify gaps. This guide lists lesson titles; access to the videos depends on your subscription. dorKk is not an online school.

Source: dorKk English lesson list dated 21 January 2026. Catalogue entries may differ from current app availability.

Plan your study

  1. Choose the module you are currently studying at school.
  2. Try a textbook question first and note where you get stuck.
  3. Watch the matching lesson, try again and keep a list of questions for your teacher.

NUMBER FORMATS AND CONVENTIONS

  1. 1.1.TYPES OF NUMBERS
  2. 1.2.DECIMAL COMMAS, POINTS AND SPACES
  3. 1.3.POSITIVE AND NEGATIVE NUMBERS AS DIRECTIONAL INDICATORS
  4. 1.4.NUMBERS EXPRESSED IN WORD FORMAT

OPERATIONS USING NUMBERS

  1. 2.1.ESTIMATING SOLUTIONS TO CALCULATIONS
  2. 2.2.ADDING AND SUBTRACTING WITHOUT THE USE OF A CALCULATOR
  3. 2.3.MULTIPLYING AND DIVIDING WITHOUT THE USE OF A CALCULATOR
  4. 2.4.MULTIPLYING AND DIVIDING BY 10, 100 AND 1000 WITHOUT USING A CALCULATOR
  5. 2.5.USING BRACKETS TO ORDER OPERATIONS
  6. 2.6.ORDER OF OPERATIONS
  7. 2.7.ADDITION AND MULTIPLICATION FACTS
  8. 2.8.EQUIVALENT FRACTIONS
  9. 2.9.FRACTION CALCULATIONS WITHOUT A CALCULATOR

CALCULATOR SKILLS

  1. 3.1.CALCULATIONS USING A CALCULATOR
  2. 3.2.CALCULATING SQUARES AND CUBES USING A CALCULATOR
  3. 3.3.CALCULATING SQUARE ROOTS USING A CALCULATOR
  4. 3.4.FINDING DECIMAL FORMATS USING A CALCULATOR
  5. 3.5.FRACTION CALCULATIONS USING A CALCULATOR
  6. 3.6.PERCENTAGE CALCULATIONS USING A CALCULATOR
  7. 3.7.SPECIAL KEYS ON A CALCULATOR

ROUNDING

  1. 4.1.ROUNDING OFF TO SPECIFIED WHOLE NUMBERS AND DECIMALS
  2. 4.2.ROUNDING OFF TO THE NEAREST FIVE
  3. 4.3.ROUNDING UP AND DOWN
  4. 4.4.CONTEXT OF ROUNDING
  5. 4.5.EFFECT OF ROUNDING WITHIN CALCULATIONS

RATIOS

  1. 5.1.FORMATS OF RATIOS
  2. 5.2.EQUIVALENT RATIOS
  3. 5.3.UNIT RATIOS
  4. 5.4.MISSING NUMBERS IN RATIOS
  5. 5.5.DIVIDING AMOUNTS IN A GIVEN RATIO
  6. 5.6.RATIO CALCULATIONS; PROPORTION AND QUANTITY
  7. 5.7.RATIO CALCULATIONS; RATES AND PERCENTAGES
  8. 5.8.RATIO CALCULATIONS; CONVERSION AND SCALE
  9. 5.9.RATIOS AND EXPRESSIONS OF PROBABILITY

PROPORTION

  1. 6.1.DIRECT PROPORTION
  2. 6.2.INVERSE PROPORTION
  3. 6.3.INTERPRETING GRAPHS INVOLVING PROPORTION

RATES

  1. 7.1.INTRODUCTION TO RATES
  2. 7.2.COMPARING AND SIMPLIFYING RATES
  3. 7.3.COST RATE CALCULATIONS
  4. 7.4.CONSUMPTION RATE CALCULATIONS
  5. 7.5.DISTANCE, SPEED AND TIME RATE CALCULATIONS
  6. 7.6.RATES APPLICATIONS

PERCENTAGES

  1. 8.1.FORMS AND CONVERSIONS OF PERCENTAGES
  2. 8.2.CALCULATING A PERCENTAGE OF A VALUE
  3. 8.3.INCREASING AND DECREASING BY A PERCENTAGE
  4. 8.4.EXPRESSING PART OF A WHOLE NUMBER AND FRACTIONS PERCENTAGES
  5. 8.5.DETERMINING PERCENTAGE INCREASE AND DECREASE
  6. 8.6.PERCENTAGE APPLICATIONS

GRAPHS

  1. 9.1.GRAPHS TELL A STORY
  2. 9.2.THE RELATIONSHIP BETWEEN DIFFERENT THINGS ON A GRAPH
  3. 9.3.WHEN A GRAPH CROSSES THE X AND Y AXES, EACH OTHER AND MIN AND MAX POINTS
  4. 9.4.DIFFERENT TYPES OF GRAPHS

PATTERNS AND RELATIONSHIPS

  1. 10.1.RELATIONSHIP WHERE THERE IS NO DIFFERENCE IN TERMS
  2. 10.2.RELATIONSHIPS WHERE THERE IS A CONSTANT DIFFERENCE BETWEEN TERMS
  3. 10.3.RELATIONSHIP WITH AN INVERSE PROPORTION BETWEEN THE TERMS
  4. 10.4.RELATIONSHIP WITH A CONSTANT RATIO BETWEEN THE TERMS IN A PATTERN
  5. 10.5.RELATIONSHIP WITH A COMBINATION (DIRECT AND INVERSE PROPORTION AND CONSTANT RATIO)
  6. 10.6.DESCRIBE FEATURES OF A RELATIONSHIP
  7. 10.7.USE A RANGE OF TECHNIQUES TO DETERMINE RELATIONSHIP
  8. 10.8.DESCRIBE AND REPRESENT PATTERNS
  9. 10.9.IDENTIFYING AND EXTENDING NUMERICAL PATTERNS ARISING FROM A FORMULA
  10. 10.10.UNDERSTANDING PATTERNS IN FINANCE, MEASUREMENT, MAPS AND DATA HANDLING

REPRESENTATIONS OF RELATIONSHIPS

  1. 11.1.DIFFERENT REPRESENTATIONS OF THE SAME RELATIONSHIP
  2. 11.2.COMPLETING A TABLE OF VALUES BY READING VALUES FROM A GRAPH
  3. 11.3.PLOTTING A GRAPH FROM VALUES IN A TABLE
  4. 11.4.USING A FORMULA OR DESCRIPTION TO CONSTRUCT A TABLE OF VALUES
  5. 11.5.MATCHING FORMULAE OR EQUATIONS TO GRAPHS AND, OR TABLES
  6. 11.6.IDENTIFYING AND DISTINGUISHING BETWEEN DIFFERENT VARIABLES
  7. 11.7.IDENTIFYING VARIABLES ASSOCIATED WITH THE CRITICAL POINTS OF DEPENDENT VARIABLES
  8. 11.8.DETERMINE FORMULAE AND EQUATIONS TO DESCRIBE RELATIONSHIPS IN TABLES AND GRAPHS
  9. 11.9.SUBSTITUTION AND SOLVING FOR VARIABLES
  10. 11.10.DRAWING GRAPHS OF MORE THAN TWO RELATIONSHIPS ON THE SAME SET OF AXES

RECORDING PLANNED WITH YOLANDI

  1. 12

FINANCIAL DOCUMENTS

  1. 13.1.TERMINOLOGY
  2. 13.2.DOCUMENTS RELATING TO PERSONAL OR HOUSEHOLD FINANCE
  3. 13.3.DOCUMENTS RELATING TO SMALL BUSINESS FINANCE
  4. 13.4.TAX DOCUMENTS
  5. 13.5.LOAN DOCUMENTATION

TARIFF SYSTEMS

  1. 14.1.CALCULATING COSTS USING TARIFFS OR FORMULAE
  2. 14.2.DRAW AND INTERPRET GRAPHS OF TARIFF SYSTEMS
  3. 14.3.WORKING WITH MUNICIPAL AND BANKING TARIFFS
  4. 14.4.COMPARING THREE DIFFERENT TARIFFS
  5. 14.5.COMPARING MORE THAN TWO DIFFERENT TARIFFS

INCOME AND EXPENDITURE AND BUDGETS

  1. 15.1.PERSONAL INCOME
  2. 15.2.PERSONAL EXPENDITURE
  3. 15.3.BUSINESS OR WORKPLACE INCOME
  4. 15.4.BUSINESS OR WORKPLACE EXPENDITURE
  5. 15.6.EXPENDITURE OF LARGER COMPANIES
  6. 15.7.INDIVIDUAL INCOME AND EXPENDITURE STATEMENTS AND BUDGETS
  7. 15.8.ANALYSIS OF STATEMENTS AND BUDGETS (SMALL BUSINESS)
  8. 15.9.INCOME AND EXPENDITURE STATEMENTS AND BUDGETS (LARGE EVENTS)
  9. 15.10.ANALYSIS OF STATEMENTS AND BUDGETS (LARGE BUSINESS)
  10. 15.11.IMPORTANCE OF SAVING

Module not specified

  1. 15.5

COST AND SELLING PRICE

  1. 16.1.COST OF PRODUCTION AND COST OF AN ITEM
  2. 16.2.CALCULATE SELLING PRICE
  3. 16.3.RUNNING OF A SMALL BUSINESS
  4. 16.4.IDENTIFY PRODUCTION AND MANUFACTURING COSTS

BREAK EVEN ANALYSIS

  1. 17.1.DETERMINE BREAK EVEN VALUES
  2. 17.2.DETERMINE BREAK EVEN VALUE FOR MORE THAN TWO OPTIONS
  3. 17.3.DETERMINE BREAK EVEN VALUES BY SUBSTITUTION INTO EQUATIONS
  4. 17.4.EXAMPLES OF CONTEXTS IN WHICH BREAK EVEN CAN BE EXPLORED

INTEREST

  1. 18.1.CALCULATIONS INVOLVING SIMPLE AND COMPOUND INTEREST
  2. 18.2.REPRESENTING SIMPLE AND COMPOUND INTEREST GROWTH GRAPHICALLY
  3. 18.3.INVESTIGATING LOANS OR INVESTMENTS WITH CHANGING BALANCES
  4. 18.4.INVESTIGATING LOANS WITH MONTHLY INSTALLMENTS
  5. 18.5.INVESTIGATING INVESTMENTS WITH FIXED MONTHLY DEPOSITS

BANKING, LOANS AND INVESTMENTS

  1. 19.1.DIFFERENT TYPES OF BANK ACCOUNTS
  2. 19.2.LOAN AND INVESTMENT TERMINOLOGY
  3. 19.3.COMPARING BANK CHARGES
  4. 19.4.ADVANTAGES AND DISADVANTAGES OF DIFFERENT TYPES OF BANK ACCOUNTS
  5. 19.5.INVESTIGATING LATE CREDIT CARD PAYMENTS
  6. 19.6.INVESTIGATING INTEREST CALCULATIONS ON DIFFERENT ACCOUNTS
  7. 19.7.INFORMAL LOAN AGREEMENTS BETWEEN FAMILY MEMBERS
  8. 19.8.FIXED DEPOSIT ACCOUNTS WHERE MONEY IS DEPOSITED AND WITHDRAWN ONCE
  9. 19.9.HIRE PURCHASE AGREEMENTS
  10. 19.10.LOANS FROM BANKS OR MICROLENDERS WITH MONTHLY REPAYMENTS
  11. 19.11.INVESTMENTS WITH MONTHLY DEPOSITS INCLUDING STOKVEL
  12. 19.12.MODELING LOAN AND INVESTMENT SCENARIOS
  13. 19.13.DETERMINE REAL COST OF A LOAN AND INTEREST PAID
  14. 19.14.DETERMINE THE TOTAL AMOUNT OF AN INVESTMENT
  15. 19.15.LOAN AND INVESTMENT GRAPHS
  16. 19.16.EFFECT OF CHANGES IN INTEREST RATE ON THE TOTAl LOAN OR INVESTMENT VALUE
  17. 19.17.EFFECT OF CHANGES IN MONTHLY REPAYMENT ON THE TOTAL LOAN VALUE
  18. 19.18.EFFECT OF CHANGES IN MONTHLY DEPOSITS ON THE TOTAL INVESTMENT AMOUNT

INFLATION

  1. 20.1.CHANGE IN PRICE AND INFLATION DEFINITIONS
  2. 20.2.IMPACT OF INFLATION ON PURCHASING POWER
  3. 20.3.IMPACT OF INFLATION ON THE PRICE OF AN ITEM
  4. 20.4.IMPACT OF INFLATION ON THE VALUE OF INVESTMENTS
  5. 20.5.CHANGE IN INFLATION RATE GRAPHS
  6. 20.6.EVALUATING PROPOSED PRICE INCREASES

TAXATION

  1. 21.1.VAT
  2. 21.2.UIF
  3. 21.3.INCOME TAX DOCUMENTS AND TERMINOLOGY
  4. 21.4.DETERMINE TAXABLE INCOME, INCOME TAX, NET PAY
  5. 21.5.DETERMINE GROSS SALARY AND NET SALARY
  6. 21.6.THE EFFECT OF SALARY INCREASE ON INCOME TAX
  7. 21.7.SARS AND EMPLOYER DOCUMENTS

EXCHANGE RATES

  1. 22.1.WORKING WITH EXCHANGE RATES PRESENTED IN FOREIGN EXCHANGE TABLES
  2. 22.2.ESTIMATING VALUES OF CURRENCIES COMPARED TO OTHERS
  3. 22.3.BUYING POWER OF A PARTICULAR CURRENCY IN A PARTICULAR COUNTRY
  4. 22.4.PLANNING TRIPS

CONVERSIONS

  1. 23.1.CONVERTING BETWEEN NUMBER FORMATS
  2. 23.2.CONVERTING UNITS FROM MEMORY FOR TIME
  3. 23.3.CONVERTING UNITS FROM MEMORY FOR METRIC SYSTEM
  4. 23.4.CONVERTING UNITS OF MEAUSUREMENT USING GIVEN CONVERSION FACTORS OR TABLES
  5. 23.5.EXPRESSING MEASUREMENTS AND QUANTITIES IN UNITS APPROPRIATE TO THE CONTEXT
  6. 23.6.CONVERTING BETWEEN DIFFERENT SYSTEMS INCLUDING METRIC TO IMPERIAL UNITS
  7. 23.7.SOLID TO LIQUID CONVERSIONS
  8. 23.8.TEMPERATURE CONVERSION FROM CELSIUS TO FAHRENHEIT

MEASURING LENGTH AND DISTANCE

  1. 24.1.MEASURING AND ESTIMATING LENGTHS AND DISTANCES
  2. 24.2.MEASURING AND ESTIMATING DISTANCES USING MAPS AND SCALES
  3. 24.3.CALCULATING COSTS INVOLVING LENGTHS
  4. 24.4.CALCULATING VALUES USING FORMULAE FOR LENGTH
  5. 24.5.CALCULATIONS INVOLVING TRAVEL

MEASURING MASS AND WEIGHT

  1. 25.1.MEASURING MASS
  2. 25.2.MEASURING QUANTITIES TO COMPLETE A TASK
  3. 25.3.MONITORING AND MANAGING MASS OVER TIME
  4. 25.4.MONITORING MASS AND GROWTH OF CHILDREN
  5. 25.5.CALCULATING COSTS INVOLVING WEIGHT
  6. 25.6.CALCULATING VALUES USING FORMULAE FOR WEIGHTS
  7. 25.7.CALCULATING DOSAGES

MEASURING VOLUME

  1. 26.1.MEASURING VOLUME
  2. 26.2.CALCULATING COSTS INVOLVING VOLUMES
  3. 26.3.CALCULATING VALUES USING FORULAE FOR VOLUME
  4. 26.4.CONSUMPTION RATES

TEMPERATURE

  1. 27.1.MEASURING, MONITORING AND INTERPRETING TEMPERATURE

PERIMETER, AREA AND VOLUME

  1. 28.1.DIRECT MEASURE OF PERIMETER, AREA AND VOLUME
  2. 28.2.PERIMETER AND AREA OF 2D SHAPES
  3. 28.3.SURFACE AREA AND VOLUME OF PRISMS AND CYLINDERS
  4. 28.4.DETERMINING QUANTITIES OF MATERIALS
  5. 28.5.CALCULATING COST OF MATERIALS FOR A PROJECT
  6. 28.6.DETERMINING A BUDGET FOR A PROJECT

TIME

  1. 29.1.TIME OF DAY FORMATS
  2. 29.2.TIME RECORDING FORMATS
  3. 29.3.CONVERTING TIME UNITS
  4. 29.4.CALCULATING ELAPSED TIME INVOLVING THE DIFFERENT TIME FORMATS
  5. 29.5.CALCULATIONS INVOLVING CALENDARS SHOWING DAYS, WEEKS AND MONTHS
  6. 29.6.CALCULATIONS INVOLVING TIMETABLES
  7. 29.7.PLANNING AND COMPLETING ACTIVITIES AND PROJECTS
  8. 29.8.RECORDING TIMES
  9. 29.9.PLANNING TRIPS
  10. 29.10.TIMETABLES DETERMINING DEPARTURE, ARRIVAL AND START OR END TIMES

SCALE

  1. 30.1.WORKING WITH NUMBER AND BAR SCALES
  2. 30.2.CALCULATING ACTUAL LENGTH AND DISTANCE
  3. 30.3.CALCULATING MAP AND PLAN MEASUREMENTS WHEN ACTUAL LENGHTS ARE KNOWN
  4. 30.4.DETERMINING THE MOST APPROPRIATE SCALE IN WHICH TO DRAW A MAP
  5. 30.5.DETERMINING THE SCALE IN WHICH A MAP OR PLAN HAS BEEN DRAWN

MAPS

  1. 31.1.MAPS SHOWING SEATING PLANS
  2. 31.2.MAPS SHOWING THE LAYOUT OF BUILDINGS
  3. 31.3.MAPS SHOWING THE LAYOUT OF STORES IN SHOPPING CENTRES
  4. 31.4.STREET MAPS WITH AND WITHOUT A GRID REFERENCE SYSTEM
  5. 31.5.NATIONAL AND PROVINCIAL ROAD AND RAIL MAPS
  6. 31.6.STRIP CHARTS SHOWING DISTANCES ON A PORTION OF ROAD
  7. 31.7.ELEVATION MAPS
  8. 31.8.RESIDENTIAL OR HOUSING ESTATE MAPS
  9. 31.9.BUILDING PLANS; ELEVATION PLANS AND DESIGN DRAWINGS
  10. 31.10.DESCRIBING POSITION IN RELATION TO SURROUNDINGS
  11. 31.11.FINDING LOCATIONS, FOLLOWING DIRECTIONS AND DEVELOPING DIRECTIONS FOR TRAVEL
  12. 31.12.ESTIMATING DISTANCES USING MEASUREMENT AND A GIVEN SCALE
  13. 31.13.DETERMINING THE TIME IT WILL TAKE TO TRAVEL BETWEEN PLACES
  14. 31.14.DETERMINING THE AMOUNT AND COST OF FUEL USED IN TRAVELING
  15. 31.15.CALCULATING AVERAGE SPEED TRAVELLED DURING A TRIP
  16. 31.16.DETERMINING THE OPERATING COST OF A VEHICLE
  17. 31.17.PLANNING AND COSTING TRIPS USING TIMETABLES, FARE AND DISTANCE CHARTS
  18. 31.18.WORKING WITH A COMBINATION OF MAPS
  19. 31.19.INTERPRETING ELEVATION MAPS OF BUILDINGS

PLANS

  1. 32.1.INSTRUCTION OR ASSEMBLY DIAGRAMS AND WRITTEN INSTRUCTIONS
  2. 32.2.ROUGH AND SCALED FLOORLAYOUT PLANS
  3. 32.3.ROUGH AND SCALED ELEVATION PLANS
  4. 32.4.ROUGH AND SCALED DESIGN DRAWINGS
  5. 32.5.ANALYSE THE LAYOUT ON THE PLAN AND SUGGEST ALTERNATIVES
  6. 32.6.DETERMINING ACTUAL LENGTHS & QUANTITIES OF MATERIALS NEEDED
  7. 32.7.DRAWING SCALED 2D FLOOR & ELEVATION PLANS FOR A HOUSE

MODELS

  1. 33.1.INVESTIGATING THE BEST PACKAGING SHAPE FOR OPTIMAL USE OF SHAPE
  2. 33.2.MAKE AND USE 2D AND 3D MODELS OF PACKAGING CONTAINERS
  3. 33.3.INVESTIGATING THE AMOUNT OF MATERIAL NEEDED TO MAKE ITEMS
  4. 33.4.INVESTIGATING THE NUMBER OF FURNITURE ITEMS THAT CAN FIT INTO A VENUE
  5. 33.5.MAKE AND USE 2D AND 3D MODELS OF BUILDINGS

DEVELOPING QUESTIONS FOR DATA HANDLING

  1. 34.1.DEVELOP QUESTIONS FOR THE COLLECTION OF DATA
  2. 34.2.PHRASING QUESTIONS
  3. 34.3.INVESTIGATING PROBLEMS

COLLECTING DATA

  1. 35.1.COLLECTING MULTIPLE SETS OF DATA
  2. 35.2.SELECTING A SAMPLE FROM A POPULATION
  3. 35.3.INVESTIGATING PROBLEMS

CLASSIFYING AND ORGANISING DATA

  1. 36.1.CLASSIFYING DATA
  2. 36.2.SORTING COLLECTED NUMERICAL DATA ACCORDING TO MULTIPLE CATEGORIES
  3. 36.3.GROUPING COLLECTED DATA USING INTERVALS
  4. 36.4.TALLY AND FREQUENCY TABLES

SUMMARISING DATA

  1. 37.1.SUMMARISING MULTIPLE SETS OF COLLECTED DATA; MEAN, MEDIAN, MODE AND RANGE
  2. 37.2.QUARTILES, IQR AND PERCENTILES
  3. 37.3.THE FUNCTION OR PURPOSE OF THE MEASURES OF CENTRAL TENDENCY AND SPREAD
  4. 37.4.THE IMPACT OF OUTLIERS ON CENTRAL TENDENCY AND SPREAD
  5. 37.5.THE STRENGTHS AND LIMITATIONS OF CENTRAL TENDENCY OR SPREAD
  6. 37.6.ANALYSING CALCULATED OR GIVEN MEASURES OF CENTRAL TENDENCY OR SPREAD
  7. 37.7.RECOGNISE TRENDS TO FIND ANSWERS TO QUESTIONS RELATING TO NATIONAL AND GLOBAL ISSUES
  8. 37.8.USE QUARTILE AND PERCENTILE VALUES TO ANALYSE DATA

REPRESENTING DATA

  1. 38.1.PIE CHARTS
  2. 38.2.BAR GRAPHS
  3. 38.3.HISTOGRAMS
  4. 38.4.LINE GRAPHS
  5. 38.5.MULTIPLE AND COMPOUND BAR GRAPHS
  6. 38.6.SCATTER PLOTS
  7. 38.7.BOX AND WHISKER PLOTS
  8. 38.8.READING INFORMATION FROM GRAPHS
  9. 38.9.ESTIMATING DATA VALUES FROM GRAPHS

INTERPRETING AND ANALYSING DATA

  1. 39.1.READING AND SELECTING DATA TO ANSWER QUESTIONS
  2. 39.2.IDENTIFYING AND DESCRIBING TRENDS
  3. 39.3.ANALYSING REPRESENTATIONS FOR ACCURACY AND BIAS

PROBABILITY

  1. 40.1.TERMINOLOGY AND RANGES
  2. 40.2.DIFFERENT NOTATIONS FOR EXPRESSING PROBABILITY
  3. 40.3.COINS AND DICE
  4. 40.4.WEATHER PREDICTIONS
  5. 40.5.INACCURATE RESULTS
  6. 40.6.PRODUCTS USING PROBABILITY
  7. 40.7.TABLES AND GRAPHS USING DATA AND STATISTICS
  8. 40.8.NATIONAL LOTTERIES AND GAMBLING
  9. 40.9.RISK ASSESMENTS
  10. 40.10.NEWSPAPERS AND PROBABILITY
  11. 40.11.THEORETICAL PROBABILITY AND RELATIVE FREQUENCY
  12. 40.12.PROBABILITY AND TRENDS
  13. 40.13.DEPENDANT AND INDEPENDANT VARIABLES
  14. 40.14.TRENDS AND INTUITION
  15. 40.15.TREE DIAGRAMS
  16. 40.16.TWO WAY TABLES
  17. 40.17.PROBABILITY IN THE MEDIA

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