In probability, if P(A) = 0, then event A is: MCQ with Answer and Explanation

In probability, if P(A) = 0, then event A is:
A. Mutually exclusive with all events
B. Independent of all events
C. Certain
D. Impossible
Answer: Option D
Solution (By JKSSB Mock Tests)
An event with probability zero cannot occur under the given probability model, defining it as impossible (though in continuous distributions, point events have P=0 but are not impossible).

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Practice More Statistics Questions

Question #1
Which index number formula satisfies both time reversal and factor reversal tests?
A. Paasche index
B. Laspeyres index
C. Fisher's ideal index
D. Simple aggregative index

Correct Answer: Option C


Explanation:
Fisher's ideal index, being the geometric mean of Laspeyres and Paasche indices, is the only common formula that satisfies both time reversal and factor reversal tests, ensuring mathematical consistency.

This question belongs to: Accountancy and Statistics Statistics
Question #2
Which graphical representation uses cumulative frequencies?
A. Histogram
B. Ogive
C. Frequency polygon
D. Bar diagram

Correct Answer: Option B


Explanation:
An ogive plots cumulative frequencies against class boundaries.

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Question #3
In a 2×2 contingency table, if ad > bc, then:
A. A and B are independent
B. Data are inconsistent
C. A and B are negatively associated
D. A and B are positively associated

Correct Answer: Option D


Explanation:
ad > bc indicates positive association.

This question belongs to: Accountancy and Statistics Statistics