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

Question

Share Report Error

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

A. 0.5

B. 0.2

C. 0.7

D. 0.9

Answer: Option C

Solution (By JKSSB Mock Tests)

0.4+0.5 - (0.4×0.5)=0.9-0.2=0.7.

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

If P(A)=0.5, P(B)=0.3, and A, B are mutually exclusive, then P(A∪B) is:

A. 0.8

B. 0.2

C. 0.5

D. 0.15

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option A

Explanation:
0.5+0.3=0.8.

This question belongs to: Accountancy and Statistics Statistics

Question #2

Share Report

If events A and B are independent, which of the following must be true?

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

B. A and B are mutually exclusive

C. P(A) + P(B) = 1

D. P(A ∩ B) = 0

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option A

Explanation:
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

Question #3

Share Report

Which of the following is an example of primary data?

A. Data from RBI bulletin on inflation

B. Data from Census of India 2011 used by a researcher

C. Data extracted from WHO reports

D. Data collected through a survey questionnaire for a specific study

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option D

Explanation:
Primary data is original data collected firsthand for a specific purpose; a survey questionnaire is a primary source. The other options are secondary data.

This question belongs to: Accountancy and Statistics Statistics

Explore All Statistics MCQs