Conditional probability P(A|B) is defined as: MCQ with Answer and Explanation

Conditional probability P(A|B) is defined as:

A. P(A∩B) / P(A)

B. P(B) / P(A)

C. P(A) / P(B)

D. P(A∩B) / P(B)

Answer: Option D

P(A|B) = P(A∩B) / P(B), provided P(B) > 0.

This question belongs to: Accountancy and Statistics Statistics

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Question #1 Report Error

If P(A)=0.5, P(B)=0.4, and A and B are independent, P(A∩B) is:

A. 0.5

B. 0.2

C. 0.9

D. 0.1

Correct Answer: Option B

Explanation:
For independent events, P(A∩B) = P(A) × P(B) = 0.5 × 0.4 = 0.2.

This question belongs to: Accountancy and Statistics Statistics

Question #2 Report Error

In attribute theory, the class frequency (Aβ) indicates objects possessing:

A. Neither A nor B

B. B but not A

C. A but not B

D. Both A and B

Correct Answer: Option C

Explanation:
β denotes absence of B, so (Aβ) = possessing A and not B.

This question belongs to: Accountancy and Statistics Statistics

Question #3 Report Error

In a classroom, the average weight of 20 boys is 60 kg and that of 30 girls is 50 kg. The combined average weight of all students is:

A. 54 kg

B. 52 kg

C. 55 kg

D. 53 kg

Correct Answer: Option A

Explanation:
Combined mean = (20×60 + 30×50) / 50 = (1200+1500)/50 = 2700/50 = 54 kg.

This question belongs to: Accountancy and Statistics Statistics