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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.
What is the general formula for the conditional probability P(A | B)?
P(A ∩ B) ÷ P(B), where P(B) ≠ 0
P(A ∩ B) × P(B)
P(A) ÷ P(A ∩ B)
P(A) + P(B) − P(A ∩ B)
2.
In a single roll of a fair die, find P(even | greater than 3).
1 ÷ 2
2 ÷ 3
1 ÷ 3
3 ÷ 4
3.
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)
4.
If P(A) = 0.3, P(B) = 0.6 and P(A ∩ B) = 0.1, find P(A | B).
1 ÷ 3
6
1 ÷ 2
1 ÷ 6
5.
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
6.
A bag has 5 red and 3 blue balls. Two balls are drawn without replacement. What is the probability that the second ball is blue, given that the first ball is blue?
3 ÷ 8
2 ÷ 8
1 ÷ 3
2 ÷ 7
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