Class notes
Grade 12 Probability revision exercises
- Course
- Mathematics
- Institution
- 12th Grade
It consists of revision questions that were extracted from past exam papers and they have examples that show you how to apply the concept
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fPROBABILITY
AND
COUNTING PRINCIPLE
GRADE 12
WORKSHEET
EMAILBY
ADDRESS: melulekishabalala@gmail.com
MR M. SHABALALA @NOMBUSO HIGHNUMBER: 0733318802 Page 1
CELLPHONE
, 1.VENN DIAGRAM
On each one shade one of the following:
1. Not N 2. P and M and N 3.N or M or P Either N or M or P
it is called____________ it is called____________
4.M 5. M only 6. Not (N or M or P)
Neither N nor M nor P
7. Not (N and M) 8. At exactly 2 choices 9. At least 2 choice
10. P and M 11.( P and M )only 12 (P' and M)
BY MR M. SHABALALA @NOMBUSO HIGH Page 2
, PROBABILITY
GRADE 12
CONCEPTS TO BE COVERED
1. DRAW VENN DIAGRAM( 3 EVENTS)
2. RULES FOR EVENTS( Mutual exclusive events,
complementary events)
3. INDEPENDENT AND DEPENDANT EVENTS
4. DRAW AND USE TREE DIAGRAMS
5. USE CONTINGENCY TABLE TO SOLVE
PROBLEMS
6. NEW COUNTING PRINCIPLE (Arrangement &
factorial notation, dealing with repetitions including
digits, limited spaces to be filled and Probability
BY MR M. SHABALALA @NOMBUSO HIGH Page 3
, 1. VENN DIAGRAM
It is a diagram used to represent relationship between different events using circles.
HOW TO DRAW IT?
1ST Draw rectangle, labeled circles inside and write sample space at the corner
START with intersection……or “only” events….or outside union events.
Fill in the remaining parts by SUBTRACTION from INTERSECTION, for the
remaining parts use the information about the intersection.
QUESTION 1(2011 NOV P3)
Complaints about a restaurant fell into three main categories: the menu (M), the
food (F) and the service (S). In total 173 complaints were received in a certain
month. The complaints were as follows:
• 110 complained about the menu.
• 55 complained about the food.
• 67 complained about the service.
• 20 complained about the menu and the food, but not the service.
• 11 complained about the menu and the service, but not the food.
• 16 complained about the food and the service, but not the menu.
• The number who complained about all three is unknown.
1.1 Draw a Venn diagram to illustrate the above information. (6)
1.2 Determine the number of people who complained about ALL THREE
Categories. (3)
1.3 Determine the probability that a complaint selected at random from those
Received, complained about AT LEAST TWO of the categories (that is. menu,
food and service). (3)
BY MR M. SHABALALA @NOMBUSO HIGH Page 4
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