If P(A) = 0.6, P(B) = 0.7, and P(A ∪ B) = 0.9, then P(A ∩ B) is: MCQ with Answer and Explanation

Question

Share Report Error

If P(A) = 0.6, P(B) = 0.7, and P(A ∪ B) = 0.9, then P(A ∩ B) is:

A. 0.3

B. 0.5

C. 0.4

D. 0.2

Answer: Option C

Solution (By JKSSB Mock Tests)

By addition theorem: P(A∪B) = P(A) + P(B) - P(A∩B) → 0.9 = 0.6 + 0.7 - P(A∩B) → P(A∩B) = 1.3 - 0.9 = 0.4.

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

Share Report

Assertion (A): The arithmetic mean of a set of positive numbers is always greater than or equal to the geometric mean. Reason (R): AM ≥ GM for any set of non-negative numbers, and equality holds when all numbers are equal. Choose the correct option:

A. Both A and R are true, and R is the correct explanation of A

B. Both A and R are true, but R is not the correct explanation of A

C. A is false, R is true

D. A is true, R is false

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option A

Explanation:
AM-GM inequality is a fundamental property. R correctly states the condition and explains A.

This question belongs to: Accountancy and Statistics Statistics

Question #2

Share Report

The algebraic sum of the deviations of a set of values from their arithmetic mean is always:

A. Positive

B. Minimum

C. Negative

D. Zero

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option D

Explanation:
A fundamental property of the arithmetic mean is that the sum of deviations of items from the mean is identically zero.

This question belongs to: Accountancy and Statistics Statistics

Question #3

Share Report

Harmonic mean is used to average speeds when:

A. Times traveled are equal

B. Data is qualitative

C. Speeds are constant

D. Distances traveled are equal

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option D

Explanation:
For equal distances, average speed = total distance / total time = harmonic mean of speeds; arithmetic mean would overestimate if speeds vary.

This question belongs to: Accountancy and Statistics Statistics

Explore All Statistics MCQs