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Course: Statistics — Third Secondary
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Quiz

Conditional Probability and Independent Events — Lesson quiz

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1.
If P(A) = 0.5, P(B) = 0.4 and P(A ∩ B) = 0.2, are the events independent?
No, because P(A ∩ B) is greater than P(A)
Yes, because P(A) + P(B) = 0.9
Yes, because P(A) × P(B) = P(A ∩ B) = 0.2
No, because P(A) is greater than P(B)
2.
If the events are mutually exclusive with P(A) = 0.3 and P(B) = 0.4, what is P(A ∩ B), and are the events independent?
P(A ∩ B) = 0.12, and the events are independent
P(A ∩ B) = 0, and the events are independent
P(A ∩ B) = 0, and the events are not independent
P(A ∩ B) = 0.7, and the events are not independent
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