A bag contains 5 red, 4 blue, 3 green balls. Two balls are drawn without replacement. Probability that both are same color is: MCQ with Answer and Explanation

A bag contains 5 red, 4 blue, 3 green balls. Two balls are drawn without replacement. Probability that both are same color is:

A. 19/66

B. 20/66

C. 15/66

D. 12/66

Answer: Option A

Total ways C(12,2)=66. Favorable: C(5,2)+C(4,2)+C(3,2) = 10+6+3=19. Probability=19/66.

This question belongs to: Accountancy and Statistics Statistics

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Question #1 Report Error

The mid-value of a class interval is 25 and the class width is 10. The class limits (exclusive) are:

A. 25-35

B. 20-30 inclusive

C. 20-30

D. 15-25

Correct Answer: Option C

Explanation:
Lower limit = mid-value - width/2 = 25 - 5 = 20; upper limit = 25 + 5 = 30.

This question belongs to: Accountancy and Statistics Statistics

Question #2 Report Error

Vital statistics are typically derived from:

A. Census

B. Sample surveys

C. Civil registration system

D. Population registers

Correct Answer: Option C

Explanation:
The primary source for vital events like births and deaths is the civil registration system.

This question belongs to: Accountancy and Statistics Statistics

Question #3 Report Error

Pre-testing of a questionnaire refers to:

A. Analyzing pilot data

B. Administering the questionnaire to the actual sample

C. Trying out the questionnaire on a small group to identify problems

D. Printing the questionnaire

Correct Answer: Option C

Explanation:
Pre-test (pilot study) helps detect ambiguous questions and practical difficulties before the main survey.

This question belongs to: Accountancy and Statistics Statistics