If P(A) = 0.4, P(B) = 0.5, and P(A ∩ B) = 0.2, then P(A|B) is: MCQ with Answer and Explanation

If P(A) = 0.4, P(B) = 0.5, and P(A ∩ B) = 0.2, then P(A|B) is:
A. 0.4
B. 0.8
C. 0.5
D. 0.2
Answer: Option A
Solution (By JKSSB Mock Tests)
Conditional probability P(A|B) = P(A ∩ B) / P(B) = 0.2 / 0.5 = 0.4. This represents the probability of A occurring given that B has already occurred.

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Practice More Statistics Questions

Question #1
Chain base index numbers are constructed using:
A. Fixed base year weights
B. Average of Laspeyres and Paasche
C. Link relatives with shifting base
D. Geometric mean of price relatives only

Correct Answer: Option C


Explanation:
Chain indices are compiled by linking relative changes (link relatives) where each period is compared with the immediately preceding period.

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Question #2
The dependency ratio measures the ratio of:
A. Non-working age population to working-age population
B. Female to male population
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Correct Answer: Option A


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Dependency ratio = (Population under 15 + Population over 65) / Population aged 15-64.

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Question #3
If Laspeyres price index = 130, Paasche price index = 120, the Fisher index is approximately:
A. 125.5
B. 125.0
C. 124.9
D. 124.5

Correct Answer: Option C


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