web analytics

Misc 8 - From employees of a company, 5 persons are selected - Miscellaneous

Slide27.JPG
Slide28.JPG Slide29.JPG Slide30.JPG

  1. Chapter 16 Class 11 Probability
  2. Serial order wise
Ask Download

Transcript

Misc 8 From the employees of a company, 5 persons are selected to represent them in the managing committee of the company. Particulars of five persons are as follows: A person is selected at random from this group to act as a spokesperson. What is the probability that the spokesperson will be either male or over 35 years? Total number of persons = 5 So, n(S) = 5 Probability spokesperson is male Let A be the event that person selected is male There are 3 males So, n(A) = 3 Probability spokesperson is male = P(A) = 𝑛(𝐴)﷮𝑛(𝑆)﷯ = 3﷮5﷯ Probability spokesperson is over 35 years old Let B be the event that person selected is over 35 There are 2 person over 35 years old So, n(B) = 2 Probability spokesperson is over 35 years old = P(B) = n(B)﷮n(S)﷯ = 2﷮5﷯ We need to find probability that the spokesperson will be either male or over 35 year i.e. P(A ∪ B) We know that P(A ∪ B) = P(A) +P(B) – P(A ∩ B) To find P(A ∪ B), we must find P(A ∩ B) first P(A ∩ B) Probability that spokesperson is male & over 35 years old Here, 1 person is both male & over 35 years old So, n(A ∩ B) = 1 P(A ∩ B) = 𝑛(𝐴 ∩ 𝐵)﷮𝑛(𝑆)﷯ = 1﷮5﷯ Now, P(A ∪ B) = P(A) +P(B) – P(A ∩ B) = 3﷮5﷯ + 2﷮5﷯ – 1﷮5﷯ = 3 + 2 − 1﷮5﷯ = 4﷮5﷯ Hence Probability that the spokesperson will be either male or over 35 year = P(A ∪ B) = 4﷮5﷯

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
Jail