Two events A and B are said to be mutually exclusive if: MCQ with Answer and Explanation

Question

Share Report Error

Two events A and B are said to be mutually exclusive if:

A. P(A ∪ B) = 1

B. P(A ∩ B) = P(A) × P(B)

C. P(A ∩ B) = 0

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

Answer: Option C

Solution (By JKSSB Mock Tests)

Mutually exclusive events cannot occur simultaneously, meaning their intersection is the empty set (probability is zero).

This question belongs to: Accountancy and Statistics Statistics

Request complete Subject PDF

Discuss this Question (0)

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

Practice More Statistics Questions

Question #1

Which measure of central tendency can be used for both quantitative and qualitative (nominal) data?

A. Geometric mean

B. Median

C. Mode

D. Arithmetic mean

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
The mode identifies the most frequent category and can be applied to nominal qualitative data (e.g., favorite color), whereas mean and median require at least ordinal or numerical data.

This question belongs to: Accountancy and Statistics Statistics

Question #2

If (A)=60, (B)=50, N=100, the maximum possible value of (AB) is:

A. 100

B. 10

C. 60

D. 50

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option D

Explanation:
(AB) cannot exceed the smaller of (A) and (B), hence 50.

This question belongs to: Accountancy and Statistics Statistics

Question #3

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

A. 0.2

B. 0.9

C. 0.8

D. 0.4

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option A

Explanation:
P(A∩B) = P(A|B) P(B) = 0.4 × 0.5 = 0.2.

This question belongs to: Accountancy and Statistics Statistics

Explore All Statistics MCQs