If P(A) = 0.4, P(B) = 0.5, and A and B are independent events, what is P(A ∪ B)? MCQ with Answer and Explanation

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If P(A) = 0.4, P(B) = 0.5, and A and B are independent events, what is P(A ∪ B)?

A. 0.2

B. 0.7

C. 0.1

D. 0.9

Answer: Option B

Solution (By JKSSB Mock Tests)

For independent events, P(A ∩ B) = 0.4 × 0.5 = 0.2. Using the addition theorem: P(A ∪ B) = 0.4 + 0.5 - 0.2 = 0.7.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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In a study on urban migration patterns, a researcher uses data from the National Sample Survey Office (NSSO) reports. This data is classified as:

A. Experimental data

B. Tertiary data

C. Secondary data

D. Primary data

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Correct Answer: Option C

Explanation:
Data obtained from published reports like NSSO is secondary data because it was collected by another agency for a different purpose and is being reused by the researcher.

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Question #2

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Life expectancy at birth is an indicator of:

A. Fertility

B. Economic growth

C. Migration

D. Mortality conditions

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Correct Answer: Option D

Explanation:
Life expectancy summarizes the mortality pattern of a population.

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Question #3

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If the price index for 2020 with base 2015 is 125, and for 2025 with base 2020 is 120, the index for 2025 with base 2015 using chain method is:

A. 140

B. 125 × 1.2 = 150

C. 145

D. 150

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Correct Answer: Option B

Explanation:
Chain index = 125 × (120/100) = 125 × 1.2 = 150.

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