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. 7/15

B. 1/5

C. 14/45

D. 21/45

Answer: Option A

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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Assertion (A): Gross Reproduction Rate (GRR) is always less than or equal to Total Fertility Rate (TFR). Reason (R): GRR considers only female births. Choose the correct option:

A. A is false, R is true

B. Both A and R are true, and R is the correct explanation of A

C. Both A and R are true, but R is not the correct explanation of A

D. A is true, R is false

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Correct Answer: Option B

Explanation:
GRR = TFR × (female proportion), so GRR ≤ TFR. R explains why.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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A key limitation of Crude Birth Rate is that it:

A. Requires detailed survey data

B. Cannot be calculated from census data

C. Does not account for the age-sex structure of the population

D. Includes stillbirths

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Correct Answer: Option C

Explanation:
CBR uses total population in the denominator, so populations with more women of reproductive age will have higher CBR even if age-specific fertility is identical, limiting comparability.

This question belongs to: Accountancy and Statistics Statistics