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. Impossible
C. Certain
D. Independent of all events
Answer: Option B
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
Wholesale Price Index (WPI) is more sensitive to changes in:
A. Imported luxury goods
B. Housing rents
C. Primary and manufactured goods prices
D. Service sector prices

Correct Answer: Option C


Explanation:
WPI primarily tracks prices of goods (primary articles, fuel, manufactured products) at wholesale stages, with limited service coverage, making it more responsive to commodity price fluctuations.

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Question #2
Vital statistics registration in India is compulsory under the:
A. Population Control Act
B. Indian Evidence Act
C. Census Act
D. Registration of Births and Deaths Act, 1969

Correct Answer: Option D


Explanation:
The RBD Act, 1969 mandates compulsory registration of births and deaths.

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Question #3
Three students A,B,C solve a problem. Probabilities 1/2, 2/3, 3/4. Probability that exactly two of them solve it is:
A. 1/4
B. 13/24
C. 11/24
D. 7/24

Correct Answer: Option C


Explanation:
P(AB'C) = 1/2 * 1/3 * 3/4 = 3/24; P(AB'C)? Let's compute exactly two: A and B not C: 1/2*2/3*1/4=2/24; A not B C: 1/2*1/3*3/4=3/24; not A B C: 1/2*2/3*3/4=6/24. Sum = 11/24.

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