If P(A)=0.2 and P(B)=0.3, the minimum possible value of P(A∪B) is: MCQ with Answer and Explanation

If P(A)=0.2 and P(B)=0.3, the minimum possible value of P(A∪B) is:
A. 0.5
B. 0.2
C. 0.1
D. 0.3
Answer: Option D
Solution (By JKSSB Mock Tests)
Minimum occurs when one event is subset of the other; if B⊂A, then P(A∪B)=P(A)=0.2. But A cannot be larger than B? Actually min union is max(P(A),P(B)) = 0.3.

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Practice More Statistics Questions

Question #1
A bag contains 4 white and 6 black balls. Two balls are drawn at random. Probability they are of different colors is:
A. 16/45
B. 12/45
C. 10/45
D. 24/45

Correct Answer: Option D


Explanation:
Total ways C(10,2)=45. Favorable: 1 white, 1 black = C(4,1)×C(6,1)=24. Probability = 24/45 = 8/15.

This question belongs to: Accountancy and Statistics Statistics
Question #2
In Bayes' theorem, the initial probabilities before observing evidence are called:
A. Prior probabilities
B. Posterior probabilities
C. Marginal probabilities
D. Likelihoods

Correct Answer: Option A


Explanation:
Prior probabilities represent the initial degree of belief.

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Question #3
Assertion (A): The population of India is increasing but the decadal growth rate has declined between 2001-2011 compared to 1991-2001. Reason (R): The total fertility rate in India has been declining. Choose the correct option:
A. Both A and R are true, but R is not the correct explanation of A
B. A is false, R is true
C. A is true, R is false
D. Both A and R are true, and R is the correct explanation of A

Correct Answer: Option D


Explanation:
The decadal growth rate declined from 21.54% to 17.64%, and this is largely due to falling fertility. R explains A.

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