Question
Download Solution PDFसांख्यिकी की समस्या समान मानक के दो खंडों में दी गई है। समस्या को हल करने के लिए खंड x के लिए संभावना 4 ∶ 3 हैं और समान समस्याओं को हल करने के लिए खंड Y के लिए संभावना 7 : 8 हैं। यदि दोनों खंड एक दूसरे से स्वतंत्र प्रयास करते हैं, तो कोई भी खंड आंकड़ों की समस्या को हल नहीं करता है, इस बात की प्रायिकता है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या
सांख्यिकी की समस्या समान मानक के दो खंडों में दी गई है
समस्या को हल करने के लिए खंड x के लिए संभावना = 4 : 3
⇒ 4/4+ 3
⇒ 4/7
⇒ समस्या को हल करने के लिए खंड y के लिए संभावना = 7 : 8
⇒ 8/8 + 7
⇒ 8/15
लेकिन इस बात प्रायिकता कि कोई भी खंड इन समस्याओं को हल नहीं करता है
यदि दोनों खंड एक दूसरे से स्वतंत्र हैं तो नकारात्मक प्रायिकता
P(X ∩ Y) = P(X).P(Y)
⇒ (4/7) × 8/15
⇒ 32/105
∴ यदि दोनों खंड एक दूसरे से स्वतंत्र प्रयास करते हैं, तो कोई भी खंड आंकड़ों की समस्या को हल नहीं करता है, इस बात की प्रायिकता 32/105 है।
Alternate Method Concept:
Calculation:
Given:
Odds against section X to solve the problem
Probability of not solving:
Odds in favour of Y to solve a probelm:
Problem of solving from Y will be
Problem of not solving by Y will be
The probability that neither section solves the problems will be
Last updated on Jul 5, 2025
-> As per the official notification, today, 4th July 2025 is the SSC CGL Last Date to apply online. So in case any candidate is left to register should submit their application form within the SSC CGL Last Date and Time ends.
-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.
-> Bihar Home Guard Result 2025 has been out officially.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> TNPSC Group 4 Hall Ticket 2025 has been released on the official website @tnpscexams.in
-> HSSC Group D Result 2025 has been released on 2nd July 2025.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.
-> Candidates should also use the SSC CGL previous year papers for a good revision.
->The DSSSB PGT Notification 2025 is out at its official website today.
-> The DSSSB PGT Admit Card 2025 is been released for the 2024 cycle exam.