If P(A) = 2/3 and P(B) = 1/2 and A, B are independent, then P(A∩B) is: MCQ with Answer and Explanation

If P(A) = 2/3 and P(B) = 1/2 and A, B are independent, then P(A∩B) is:
A. 1/2
B. 1/3
C. 2/3
D. 1/6
Answer: Option B
Solution (By JKSSB Mock Tests)
2/3 × 1/2 = 1/3.

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Practice More Statistics Questions

Question #1
The frequency of a class which specifies the absence of all attributes (e.g., (αβγ)) is a:
A. Negative class frequency
B. Zero order frequency
C. Contrary class frequency
D. Positive class frequency

Correct Answer: Option A


Explanation:
Classes represented by Greek letters denote the absence of attributes, hence their frequencies are negative class frequencies.

This question belongs to: Accountancy and Statistics Statistics
Question #2
If (AB)=30, (Aβ)=20, (αB)=10, (αβ)=40, the total number of observations N is:
A. 90
B. 110
C. 100
D. 80

Correct Answer: Option C


Explanation:
N = (AB) + (Aβ) + (αB) + (αβ) = 30+20+10+40 = 100.

This question belongs to: Accountancy and Statistics Statistics
Question #3
Yule's coefficient of association is undefined when:
A. (AB) = 0
B. N is odd
C. Attributes are independent
D. (AB)(αβ) + (Aβ)(αB) = 0

Correct Answer: Option D


Explanation:
Yule's Q = [(AB)(αβ) - (Aβ)(αB)] / [(AB)(αβ) + (Aβ)(αB)]; if the denominator is zero (all cells zero or impossible configuration), Q is undefined, though this rarely occurs in real data.

This question belongs to: Accountancy and Statistics Statistics