If events A and B are independent, which of the following must be true? MCQ with Answer and Explanation

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If events A and B are independent, which of the following must be true?

A. A and B are mutually exclusive

B. P(A ∩ B) = 0

C. P(A|B) = P(A)

D. P(A) + P(B) = 1

Answer: Option C

Solution (By JKSSB Mock Tests)

Independence means knowledge of B does not affect A's probability, so P(A|B) = P(A); this is equivalent to P(A∩B)=P(A)P(B).

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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For given data Σp₁q₀=480, Σp₀q₀=400, Σp₁q₁=600, Σp₀q₁=500. Fisher's index is:

A. 120.0

B. 124.9

C. 122.5

D. 121.0

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Correct Answer: Option A

Explanation:
Laspeyres = 480/400×100=120; Paasche = 600/500×100=120; Fisher = √(120×120) = 120.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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In a class, 60% students pass in English and 70% in Mathematics. 20% fail in both. The percentage that pass in at least one subject is:

A. 90%

B. 80%

C. 50%

D. 60%

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Correct Answer: Option B

Explanation:
Pass in at least one = 100% - fail in both = 100% - 20% = 80%.

This question belongs to: Accountancy and Statistics Statistics

Question #3

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If the geometric mean of two numbers is 12 and one number is 18, the other number is:

A. 6

B. 10

C. 9

D. 8

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Correct Answer: Option D

Explanation:
Geometric mean = √(x×y). Given √(18×y)=12, square both sides: 18y=144, so y=144/18=8. This uses the definition of geometric mean for two values.

This question belongs to: Accountancy and Statistics Statistics

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