Question
Download Solution PDF60% of the employees of a company are college graduates. Of these, 10% are in sales. Of the employees who did not graduate from college, 80% are in sales. The probability that an employee selected at random is in sales, is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
P(A) = 0.60
P(B/A) = 0.10
Concept:
P(A | B) ⋅ P(B) = P(B | A) ⋅ P(A)
Calculation:
Let A be the event : the employees are graduate
Let B be the event : the employees are in sales
⇒ P(B) = P(A).P(B/A) + P(A’). P(B/A)’
⇒ 0.60 × 0.10 + 0.40 × 0.80
∴ The probability that an employee selected at random is in sales, is 0.38
Important Points
Probability always lies between 0 to 1
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.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> 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.