Two independent events A and B have probabilities 0.4 and 0.5. The probability that exactly one of them occurs is: MCQ with Answer and Explanation

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Two independent events A and B have probabilities 0.4 and 0.5. The probability that exactly one of them occurs is:

A. 0.5

B. 0.7

C. 0.2

D. 0.9

Answer: Option A

Solution (By JKSSB Mock Tests)

P(Exactly one) = P(A) + P(B) - 2*P(A ∩ B) = 0.4 + 0.5 - 2*(0.4*0.5) = 0.9 - 0.4 = 0.5.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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The Paasche index is likely to understate price rise because:

A. It uses geometric mean

B. It uses current year quantities, reflecting substitution

C. It is unweighted

D. It uses base year quantities

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Correct Answer: Option B

Explanation:
Substitution away from goods whose prices rose relatively reduces their weight, leading to underestimation.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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Assertion (A): Fisher's Index is called the 'Ideal' index. Reason (R): It uses only base year quantities.

A. Both A and R are true but R is NOT the correct explanation

B. A is false but R is true

C. A is true but R is false

D. Both A and R are true and R is the correct explanation

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Correct Answer: Option C

Explanation:
A is true, but R is false because Fisher's index uses both base and current year quantities (Geometric mean of L and P).

This question belongs to: Accountancy and Statistics Statistics

Question #3

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Gross Reproduction Rate (GRR) focuses exclusively on:

A. Male births

B. Female births

C. Total births

D. Stillbirths

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Correct Answer: Option B

Explanation:
GRR sums age-specific fertility rates for female births only, measuring the average number of daughters per woman, which is crucial for analyzing female population replacement.

This question belongs to: Accountancy and Statistics Statistics

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