Probability Identities (Grade 10 NSC Matric Mathematics): Quizzes

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Probability Identities
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What is the probability of the sample space P(S)P(S)?

11

What is the sample space in a probability experiment?

Set of all possible outcomes

What is the union identity formula for events AA and BB?

P(A∪B)=P(A)+P(B)−P(A∩B)P(A \cup B) = P(A) + P(B) - P(A \cap B)

Why do we subtract P(A∩B)P(A \cap B) in the union identity?

To avoid double-counting the overlap

What does the notation A∪BA \cup B represent?

Event AA or BB (or both) occurring

What does A∩BA \cap B represent?

Outcomes in both AA and BB

What is the basic probability formula?

Favourable outcomesTotal outcomes\frac{\text{Favourable outcomes}}{\text{Total outcomes}}

What is the valid range for any probability value?

Between 00 and 11

If P(A)=310P(A) = \frac{3}{10}, P(B)=510P(B) = \frac{5}{10}, P(A∩B)=210P(A \cap B) = \frac{2}{10}, find P(A∪B)P(A \cup B).

610\frac{6}{10}

What is the most common mistake when finding P(A∪B)P(A \cup B)?

Not subtracting the intersection

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