If P(A)=0.4, P(B)=0.5, and A and B are independent, then P(A' ∩ B') equals: MCQ with Answer and Explanation

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If P(A)=0.4, P(B)=0.5, and A and B are independent, then P(A' ∩ B') equals:

A. 0.3

B. 0.9

C. 0.1

D. 0.2

Answer: Option A

Solution (By JKSSB Mock Tests)

P(A')=0.6, P(B')=0.5, independence ⇒ P(A'∩B') = 0.6 × 0.5 = 0.3.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1

Which reproduction rate indicates the exact potential of a population to replace itself?

A. Net Reproduction Rate

B. Gross Reproduction Rate

C. Total Fertility Rate

D. General Fertility Rate

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Correct Answer: Option A

Explanation:
Net Reproduction Rate (NRR) accounts for female mortality before reaching the end of the reproductive period.

This question belongs to: Accountancy and Statistics Statistics

Question #2

A bag contains 3 red and 2 blue balls. Two balls are drawn at random without replacement. The probability that both are red is:

A. 3/10

B. 9/25

C. 1/2

D. 3/5

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Correct Answer: Option A

Explanation:
P(both red) = (3/5) × (2/4) = 6/20 = 3/10. Without replacement, the probability changes after the first draw, requiring multiplication of conditional probabilities.

This question belongs to: Accountancy and Statistics Statistics

Question #3

The number of observations falling in a particular class is called:

A. Class frequency

B. Class mark

C. Relative frequency

D. Cumulative frequency

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Correct Answer: Option A

Explanation:
Class frequency is the count of data points within a class interval.

This question belongs to: Accountancy and Statistics Statistics

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