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Quantitative Aptitude - Probability

Avatto > > Bank Exam > > Practice Questions > > Quantitative Aptitude > > Probability

36. Which of the following is correct?

A
If A, B and C are mutually independent, then A ∪ Band C are also independent
B
The events E₁, E₂,.... , En are mutually exclusive.
Let E =
If P(A/Ei) = P(B/Ei) i = 1,2,....,n, then
P(A/E) = P(B/E)
C
Both (a) and (b)
D
None of these

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Option : A
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37. For any two events A and B

A
P (A' ∩ B) = P (B) - P (A ∩ B)
B
P(A ∪ B) = P(A)+ P(B) -P(A ∩ B)
C
P(A/B) ≤ P (A).
D
All of these

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Option : D
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38. Which of the following is correct?

A
P (A ∪ B/C) = P (A/C) + P (B/C) - P (A ∩ B/C)
B
P(A ∩ B/C) + P (A ∩ B/C) = P (A/C)
C
If A and B are independent, then A and B' are also independent
D
All of these

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Option : A
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39. Given two events A and Band
P(A) = 1/4, P(B/A) = 1/2
and P(A/B) = 1/4

State that following is true?

A
A is sub-event of B
B
P(A/B) = 3/4
C
P(A/B) + P(A/B') = 1
D
None of these

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Option : D
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40. Let p be the probability that a man aged y will get into an accident in a year. What is the probability that a man among n men of all aged y will get into an accident first?

A
B
C
D
None of these

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Option : A
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