Two events A and B are such that P(A)=0.5, P(B)=0.3, P(A∩B)=0.1. They are: MCQ with Answer and Explanation

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Two events A and B are such that P(A)=0.5, P(B)=0.3, P(A∩B)=0.1. They are:

A. Neither mutually exclusive nor independent

B. Both mutually exclusive and independent

C. Mutually exclusive

D. Independent

Answer: Option A

Solution (By JKSSB Mock Tests)

P(A∩B)≠0 ⇒ not mutually exclusive. P(A)P(B)=0.15 ≠ 0.1 ⇒ not independent.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1

Three dice are rolled. The probability of getting a sum of 5 is:

A. 10/216

B. 5/216

C. 1/36

D. 15/216

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Correct Answer: Option C

Explanation:
Combinations: (1,1,3) and (1,2,2) each with 3 permutations, total 6 favorable. 6/216 = 1/36.

This question belongs to: Accountancy and Statistics Statistics

Question #2

In a life table, the radix (l₀) is usually:

A. 1,000,000

B. 100,000

C. 10,000

D. 1000

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Correct Answer: Option B

Explanation:
Typically, l₀ = 100,000, representing the hypothetical birth cohort.

This question belongs to: Accountancy and Statistics Statistics

Question #3

In attribute theory, the term 'ultimate class frequencies' refers to:

A. Cumulative frequencies of classes

B. Frequencies of the fundamental disjoint classes like (AB), (Aβ), etc.

C. Frequencies of the original attributes only

D. Total frequency N

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Correct Answer: Option B

Explanation:
Ultimate classes are the non-overlapping categories formed by combinations of attributes and their negations.

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