Two events A and B are called complementary if: MCQ with Answer and Explanation

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Two events A and B are called complementary if:

A. P(A) = P(B)

B. They are independent

C. P(A∩B) = P(A)P(B)

D. A ∪ B = S and A ∩ B = ∅

Answer: Option D

Solution (By JKSSB Mock Tests)

Complementary events partition the sample space; one is the complement of the other.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1

A questionnaire should avoid 'double-barreled' questions because they:

A. Ask about two things at once, confusing the respondent

B. Use difficult words

C. Are too long

D. Are too short

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Correct Answer: Option A

Explanation:
Double-barreled questions combine two queries, making it hard to answer accurately.

This question belongs to: Accountancy and Statistics Statistics

Question #2

A box contains 5 red and 3 green balls. Two balls are drawn without replacement. Probability that both are red is:

A. (5/8)²

B. (5/8) × (3/7)

C. (5/8) × (4/7) = 5/14

D. (5/8) + (4/7)

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Correct Answer: Option C

Explanation:
First red: 5/8, second red given first red: 4/7. Product = 20/56 = 5/14.

This question belongs to: Accountancy and Statistics Statistics

Question #3

Fisher's ideal index is the ______ of Laspeyres and Paasche indices.

A. Harmonic mean

B. Arithmetic mean

C. Median

D. Geometric mean

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Correct Answer: Option D

Explanation:
Fisher's index = √(Laspeyres × Paasche).

This question belongs to: Accountancy and Statistics Statistics

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