Assertion (A): For independent events A and B, P(A|B) = P(A). Reason (R): Independence implies that knowledge of B does not change the probability of A. MCQ with Answer and Explanation

Assertion (A): For independent events A and B, P(A|B) = P(A). Reason (R): Independence implies that knowledge of B does not change the probability of A.
A. A is true but R is false
B. A is false but R is true
C. Both A and R are true, and R is the correct explanation of A
D. Both A and R are true, but R is not the correct explanation of A
Answer: Option C
Solution (By JKExamLibrary)
By definition, if A and B are independent, the conditional probability P(A|B) equals the unconditional probability P(A), as the occurrence of B provides no information about A.

This question belongs to: Accountancy and Statistics Statistics

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Statistics Questions

Question #1 Report Error
If index number for year 2020 (Base 2010) is 150, it means:
A. Prices have increased by 50%
B. Prices are 1.5 times the 2020 prices
C. Prices have increased by 150%
D. Prices have decreased by 50%

Correct Answer: Option A


Explanation:
An index of 150 implies current prices are 150% of the base year (which is 100), meaning a net increase of 50%.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
If TFR = 2.5 and proportion of female births is 0.48, GRR is:
A. 1.04
B. 2.5
C. 1.2
D. 1.3

Correct Answer: Option C


Explanation:
GRR = 2.5 × 0.48 = 1.2 daughters per woman.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
In attribute theory, consistency of data requires that all ultimate class frequencies are:
A. Greater than marginal frequencies
B. Equal
C. Multiples of 10
D. Positive integers or zero

Correct Answer: Option D


Explanation:
Consistency checks ensure no calculated frequency (e.g., from marginal totals) is negative, as counts cannot be negative; all must be non-negative integers for logical validity.

This question belongs to: Accountancy and Statistics Statistics