Combining Events (VCE SSCE Mathematical Methods): Quizzes

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Combining Events
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What does the empty set \varnothing represent?

A set with no elements at all

How is the universal set represented in a Venn diagram?

As a rectangle

What does the union operation mean in probability?

"or"

What does the intersection operation mean in probability?

"and"

What does the complement AA' represent?

All elements in ε\varepsilon not in AA

When are two sets disjoint or mutually exclusive?

When AB=A \cap B = \varnothing

What is the addition rule for probability?

Pr(AB)=Pr(A)+Pr(B)Pr(AB)\text{Pr}(A \cup B) = \text{Pr}(A) + \text{Pr}(B) - \text{Pr}(A \cap B)

When solving Venn diagram problems, where should you start?

With the intersection and work outward

In the example, what is Pr(FM)\text{Pr}(F' \cap M') for 50 students where 15 attended neither?

310\frac{3}{10}

Why must we subtract Pr(AB)\text{Pr}(A \cap B) in the addition rule?

Adding Pr(A)\text{Pr}(A) and Pr(B)\text{Pr}(B) counts the intersection twice

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