A box contains 3 defective and 7 non-defective items. Two items are selected at random. The probability that exactly one is defective is: MCQ with Answer and Explanation

Question

A box contains 3 defective and 7 non-defective items. Two items are selected at random. The probability that exactly one is defective is:

A. 14/45

B. 7/15

C. 1/5

D. 21/45

Answer: Option B

Solution (By JKSSB Mock Tests)

Total C(10,2)=45. Favorable: 3×7=21. Probability=21/45=7/15.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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Data on attributes is said to be consistent if:

A. No calculated class frequency is negative, as negative frequencies are impossible

B. Attributes are independent of each other

C. All class frequencies are positive integers

D. The sum of all frequencies equals the sample size

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Correct Answer: Option A

Explanation:
Consistency requires that all derived class frequencies (including ultimate classes) are non-negative, as negative counts are logically impossible in real-world data.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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Pre-testing of a questionnaire refers to:

A. Analyzing pilot data

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

C. Administering the questionnaire to the actual sample

D. Printing the questionnaire

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Correct Answer: Option B

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

This question belongs to: Accountancy and Statistics Statistics

Question #3

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Age Specific Fertility Rate (ASFR) for age group 20-24 uses denominator:

A. Total births

B. Total women

C. Total population

D. Women aged 20-24

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Correct Answer: Option D

Explanation:
ASFR = (Births to women in age group) / (Number of women in that age group) × 1000.

This question belongs to: Accountancy and Statistics Statistics

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