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) + P(B) = 1

C. P(A ∩ B) = 0

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

Answer: Option D

Solution (By JKExamLibrary)

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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Practice More Statistics Questions

Question #1 Report Error

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

A. Both B and C are correct

B. An impossible event

C. A sure event

D. Independent of any other event

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Correct Answer: Option A

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 #2 Report Error

In probability, an event that contains all possible outcomes is called:

A. Simple event

B. Null event

C. Sure event

D. Impossible event

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Correct Answer: Option C

Explanation:
Sure event equals the sample space, P = 1.

This question belongs to: Accountancy and Statistics Statistics

Question #3 Report Error

The Crude Birth Rate (CBR) is defined as the number of live births per:

A. 100 women in the childbearing age

B. 100,000 mid-year population

C. 1,000 mid-year population

D. 1,000 women in the childbearing age

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Correct Answer: Option C

Explanation:
CBR is the simplest measure of fertility, calculated as (Total Live Births / Mid-year Population) × 1000.

This question belongs to: Accountancy and Statistics Statistics

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