For any two events A and B, P(A∪B) is: MCQ with Answer and Explanation

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For any two events A and B, P(A∪B) is:

A. Both A and B

B. Always ≤ P(A) + P(B)

C. Always ≥ P(A∩B)

D. Always ≤ 1

Answer: Option A

Solution (By JKSSB Mock Tests)

By the addition rule, P(A∪B) ≤ P(A)+P(B), and probability of any event is ≤1.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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In a Poisson distribution, the probability of zero successes is e^{-λ}. If λ=3, this probability is approximately:

A. 0.05

B. 0.15

C. 0.20

D. 0.10

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Correct Answer: Option A

Explanation:
e^{-3} ≈ 0.0498 ≈ 0.05.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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A box has 2 red, 3 blue, 5 green balls. Probability of drawing a green ball is:

A. 2/5

B. 5/10

C. 1/2

D. 3/10

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Correct Answer: Option B

Explanation:
Total balls = 10, green = 5, probability = 5/10 = 1/2. But option B says 5/10, which is the same. So B is correct.

This question belongs to: Accountancy and Statistics Statistics

Question #3

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The algebraic sum of deviations of observations from the arithmetic mean is:

A. Minimum

B. Always zero

C. Always negative

D. Always positive

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Correct Answer: Option B

Explanation:
Σ(x - x̄) = 0 is a fundamental property of the arithmetic mean.

This question belongs to: Accountancy and Statistics Statistics

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