In probability, the addition theorem for mutually exclusive events simplifies to P(A ∪ B) = P(A) + P(B) because: MCQ with Answer and Explanation

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In probability, the addition theorem for mutually exclusive events simplifies to P(A ∪ B) = P(A) + P(B) because:

A. Events are independent

B. P(A) = P(B)

C. P(A ∩ B) = 0

D. P(A ∩ B) = 1

Answer: Option C

Solution (By JKSSB Mock Tests)

Mutually exclusive events cannot occur together, so their intersection probability is zero, removing the subtraction term in the general addition theorem.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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For a normal distribution, the relationship between Quartile Deviation (QD), Mean Deviation (MD), and Standard Deviation (SD) is roughly:

A. 6 SD = 5 MD = 4 QD

B. 2 SD = 3 MD = 4 QD

C. SD = MD = QD

D. 4 SD = 5 MD = 6 QD

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Correct Answer: Option D

Explanation:
In a perfectly normal distribution, QD is about 2/3 of SD, and MD is about 4/5 of SD, yielding the 4:5:6 ratio.

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Question #2

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A table that presents data according to two independent characteristics simultaneously is called a:

A. Simple table

B. Manifold table

C. Two-way (bivariate) table

D. One-way table

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Correct Answer: Option C

Explanation:
A two-way table crosses two distinct variables, such as displaying population by both age and gender.

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Question #3

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Consumer Price Index (CPI) is most relevant for:

A. Setting wholesale trade policies

B. Calculating export competitiveness

C. Assessing changes in the cost of living for households

D. Measuring producer cost inflation

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Correct Answer: Option C

Explanation:
CPI measures average price changes paid by consumers for a basket of goods and services, directly indicating inflation's impact on household purchasing power and cost of living.

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