If P(A)=0.5, P(B)=0.4, P(A∩B)=0.3, then P(A but not B) is: MCQ with Answer and Explanation

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If P(A)=0.5, P(B)=0.4, P(A∩B)=0.3, then P(A but not B) is:

A. 0.2

B. 0.8

C. 0.5

D. 0.1

Answer: Option A

Solution (By JKSSB Mock Tests)

P(A∩B') = P(A) - P(A∩B) = 0.5 - 0.3 = 0.2.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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The combined mean of two groups of sizes n₁ and n₂ with means x̄₁ and x̄₂ is given by:

A. (n₁x̄₁ + n₂x̄₂)/(n₁ + n₂)

B. (n₁x̄₁ + n₂x̄₂)/2

C. (x̄₁/x̄₂) × (n₁ + n₂)

D. (x̄₁ + x̄₂)/2

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Correct Answer: Option A

Explanation:
Combined mean is a weighted average.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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Cost of Living Index is primarily used for:

A. Adjusting dearness allowance

B. Calculating trade balance

C. Measuring industrial production

D. Calculating GDP

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Correct Answer: Option A

Explanation:
It is used to adjust salaries and wages to maintain purchasing power.

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Question #3

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The concept of 'conditional probability' is needed when:

A. Events are mutually exclusive

B. We sum probabilities

C. Events are independent

D. We want the probability of an event given that another event has already occurred

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Correct Answer: Option D

Explanation:
Conditional probability deals with the updated probability after knowing another event has occurred.

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