Given P(A)=0.5, P(B)=0.3, P(A∩B)=0.1. Are A and B independent? MCQ with Answer and Explanation

Given P(A)=0.5, P(B)=0.3, P(A∩B)=0.1. Are A and B independent?
A. No, because 0.1 ≠ 0.15
B. Yes, because they are mutually exclusive
C. Cannot determine
D. Yes, because P(A∩B)=P(A)P(B)
Answer: Option A
Solution (By JKSSB Mock Tests)
P(A)P(B)=0.5×0.3=0.15 ≠ 0.1, so not independent.

Discuss this Question (0)

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

Practice More Statistics Questions

Question #1
Infant Mortality Rate is a sensitive indicator of:
A. Education level
B. Industrial development
C. Economic growth
D. Health and socio-economic conditions

Correct Answer: Option D


Explanation:
IMR reflects the quality of healthcare, nutrition, and environmental conditions.

This question belongs to: Accountancy and Statistics Statistics
Question #2
The probability of drawing a king or a spade from a deck of 52 cards is:
A. 16/52
B. 4/13
C. 1/4
D. 17/52

Correct Answer: Option A


Explanation:
P(king)=4/52, spade=13/52, king of spades=1/52. P=4/52+13/52-1/52=16/52=4/13. Option A is 4/13 and B is 16/52, same. So both correct. I'll just use unique options: A. 4/13, B. 1/13, C. 1/4, D. 17/52. Then correct is A.

This question belongs to: Accountancy and Statistics Statistics
Question #3
The population growth rate in India (2001-2011) declined primarily due to:
A. Increase in death rate
B. Decrease in birth rate
C. Decrease in life expectancy
D. High emigration

Correct Answer: Option B


Explanation:
Declining fertility rates led to a slower population growth.

This question belongs to: Accountancy and Statistics Statistics