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

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If P(A)=0.5, P(B)=0.4, and A and B are independent, P(A∩B) is:

A. 0.9

B. 0.1

C. 0.5

D. 0.2

Answer: Option D

Solution (By JKSSB Mock Tests)

For independent events, P(A∩B) = P(A) × P(B) = 0.5 × 0.4 = 0.2.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1

Sturges' rule for the number of classes k is:

A. k = 1 + 3.322 log₁₀ N

B. k = log₁₀ N

C. k = 1 + 2.322 log₁₀ N

D. k = 3.322 log₁₀ N

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Correct Answer: Option A

Explanation:
The formula k = 1 + 3.322 log₁₀ N gives an approximate optimal number of classes.

This question belongs to: Accountancy and Statistics Statistics

Question #2

In probability, if P(A) = 0, then A is:

A. A sure event

B. Both B and C are correct

C. Independent of any other event

D. An impossible event

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Correct Answer: Option B

Explanation:
An impossible event has probability 0, and it is independent of any event because P(A∩B)=0 = P(A)P(B).

This question belongs to: Accountancy and Statistics Statistics

Question #3

General Fertility Rate (GFR) relates live births to the number of women aged:

A. 15-49 years

B. 20-40 years

C. Above 50 years

D. All ages

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Correct Answer: Option A

Explanation:
GFR uses the female population in the reproductive age group 15-49 as denominator.

This question belongs to: Accountancy and Statistics Statistics

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