Identities (Grade 12 NSC Matric Mathematics): Quizzes

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Identities
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Which scenario best describes independent events?

Flipping a coin twice

What defines mutually exclusive events?

They cannot happen at the same time

What is the general addition rule formula?

P(A or B)=P(A)+P(B)−P(A and B)P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B)

For mutually exclusive events A and B, what is P(A or B)P(A \text{ or } B)?

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

What does the complementary rule state?

P(not A)=1−P(A)P(\text{not } A) = 1 - P(A)

For independent events A and B, what is P(A and B)P(A \text{ and } B)?

P(A)×P(B)P(A) \times P(B)

Can events be both mutually exclusive and independent?

No, these are different concepts

Drawing beads with replacement creates what type of events?

Independent events

If P(A)=0.5P(A) = 0.5, P(B)=0.4P(B) = 0.4, and P(A and B)=0.1P(A \text{ and } B) = 0.1, find P(A or B)P(A \text{ or } B).

0.80.8

How do you test if events A and B are independent?

Check if P(A and B)=P(A)×P(B)P(A \text{ and } B) = P(A) \times P(B)

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