Quantitative Aptitude MCQ - Probability

6 If A, B, C are three events, then P(A ∩ B ∪ C) =

A
P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C)
B
P(A) + P(B) + P(C) - P(B)P(C)
C
P(A ∩ B) + P(A ∩ C) - P(A ∩ B ∩ C)
D
P(B ∩ C) + P(A ∩ B) - P(A ∩ B ∩ C)

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Correct AnswerOption C

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7 If A and B are two arbitrary events, then P(A ∩ B) cannot be

A
less than P(A) + P(B) - 1
B
greater than P(A) + P(B)
C
equal to P(A) + P(B) - P(A ∪ B)
D
equal to P(A) + P(B) + P(A ∪ B)

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Correct AnswerOption C

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8 If M and N are two events, then probability that exactly one of them occurs is not equal to

A
P(M) + P(N) - 2P(M ∩ N)
B
P(M) + P(N) - P(M ∩ N)
C
P(M') + P(N') - 2P(M' ∩ N')
D
P(M ∩ N') + P(M' ∩ N)

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Correct AnswerOption B

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9 If A and B are any two events then which one of the following pairs of events,are mutually exclusive?

A
A ∪ B and A ∩ B'
B
A ∪ B and A' ∩ B
C
A ∪ B and A' ∩ B'
D
A ∪ B and A ∩ B

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Correct AnswerOption C

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10 There are three events A, B, C one of which must, and only one can happen, the odds are 8 to 3 against A, 5 to 2 against B. The odds against C are

A
43 to 34
B
32 to 23
C
34 to 13
D
none of these

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Correct AnswerOption A

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Since odds are 8 to 3 against A

Probability

and P(A) + P(B) + P(C) = 1

Probability

Hence odds against C are 43 to 34.

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