1. 9G Expectation, 9H Probabilities from Venn Diagrams, 9I Laws of Probability
Unit 1: Probability
9G, 9H, 9I
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2. Expectation
If rolling a normal die, find: Therefore, if you were to roll the die 100 times, how many times would you expect to roll a prime number? What if you rolled the die 30 times? And what about 45 times?
9G, 9H, 9I
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3. Venn Diagrams
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shows the possible logical relations between sets or outcomes
For probability:
draw a rectangle and label it “U” for the sample space
draw and label circles to represent characteristics or events conventional to use uppercase letters like “A”
mark values in the appropriate regions n(A) = number of elements in set A
In a class of 19 IB students, 12 take AP US Government, 14 take AP Macroeconomics, and 10 take both. Display this information on a Venn diagram and then determine if choosing one student randomly:
P(both subjects), P(at least one of the subjects), P(exactly one of the subjects)
9G, 9H, 9I
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4. Complement
set of all elements or outcomes in that are not in the given set complement of set A universal set null set Which of the following are true?
9G, 9H, 9I
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5. Venn Diagrams
always draw and label a rectangle for the universal set for two intersecting sets and , to represent a given statement you would draw and shade:
9G, 9H, 9I
8/19/ :39 PM

6. Numbers in Venn Diagrams
IFF the two sets are mutually exclusive (“disjoint”)
9G, 9H, 9I
8/19/ :39 PM

7. Laws of Probability
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addition law of probability non-exclusive P(either A or B) = P(A) + P(B) - P(both A and B) “either A or B” means “just A”, “just B”, and “both A and B” mutually exclusive P(either A or B) = P(A) + P(B) (“disjoint”) In a class of 25 students, 14 like homework and 16 like tests. One student likes neither and 6 students like both. Determine: P(likes homework or tests), P(likes homework | likes tests) conditional probability
9G, 9H, 9I
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8. Guided Practice
p. 282: 3,4,6 p. 283: 1,2 p. 285: 2,4 p. 287: 3, 4(draw Venn diagram), 7, 10 p. 290: 1,2,3 Read and follow all instructions. List the page and problem numbers alongside your work and answers in your notes. Use the back of the book to check your answers.
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9G, 9H, 9I
8/19/ :39 PM