Mutually Exclusive Events (HSC SSCE Mathematics Advanced): Quizzes

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Mutually Exclusive Events
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What are mutually exclusive events?

Events that cannot happen at the same time

For mutually exclusive events AA and BB, what is A∩BA \cap B?

∅\emptyset (empty set)

How are mutually exclusive events shown on a Venn diagram?

Separate circles that do not overlap

Are drawing a heart and drawing a spade from a deck mutually exclusive?

Yes, a card cannot be both suits

What is the complement rule for probability?

P(A‾)=1−P(A)P(\overline{A}) = 1 - P(A)

What is the general addition rule for P(A∪B)P(A \cup B)?

P(A)+P(B)−P(A∩B)P(A) + P(B) - P(A \cap B)

For mutually exclusive events, what is P(A∪B)P(A \cup B)?

P(A)+P(B)P(A) + P(B)

Why subtract P(A∩B)P(A \cap B) in the addition rule?

To avoid double-counting overlapping outcomes

If A={1,2}A = \{1, 2\} and B={5,6}B = \{5, 6\} on a die, what is P(A∪B)P(A \cup B)?

23\frac{2}{3}

If A∩B={6}A \cap B = \{6\}, are AA and BB mutually exclusive?

No, they share outcome 6

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