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If a population consists of 10 units and SRSWOR is adopted, the probability of selecting a specified sample of 2 units is:

This question was previously asked in
SSC CGL Tier-II ( JSO ) 2016 Official Paper ( Held On : 2 Dec 2016 )
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  1. 1 / 10
  2. 1 / 45
  3. 1 / 90
  4. 1 / 100

Answer (Detailed Solution Below)

Option 2 : 1 / 45
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Detailed Solution

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Given

Population N = 10

Sample n = 2

Concept

The probability of selecting sample in SRSWOR is 1/Ncn

NCn = N!/n!(N - n)!

Calculation

The required probability is 1/10c2

⇒ 1/(10!/(2!(10 -2)!

⇒ 10!/2!/8!

⇒ (8! × 2!)/10!

⇒ 1/45

∴ the probability of selecting a specified sample of 2 units is 1/45

 When we select as SRSWR the probability of selecting sample is 1/Nn

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Last updated on Jun 13, 2025

-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.

-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.

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->  The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.

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-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.

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