Ex 16.3, 1 - Which can not be valid assignment of probabilities - Basic Formula

Slide2.JPG
Slide3.JPG Slide4.JPG Slide5.JPG

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

Transcript

Ex16.3, 1 Which of the following can not be valid assignment of probabilities for outcomes of sample space S = { ω1, ω2, ω3, ω4, ω5, ω6, ω7,} (a) S = { ω1, ω2, ω3, ω4, ω5, ω6, ω7,} Sum of probability = ω1 + ω2 + ω3 + ω4 + ω5 + ω6 + ω7 = 0.1 + 0.01 + 0.05 + 0.03 + 0.01 + 0.2 + 0.6 = 1.00 ∴ Assignment of probability is valid Ex16.3, 1 (b) Sum of probability = ω1 + ω2 + ω3 + ω4 + ω5 + ω6 + ω7 = 1﷮7﷯ + 1﷮7﷯ + 1﷮7﷯ + 1﷮7﷯ + 1﷮7﷯ + 1﷮7﷯ + 1﷮7﷯ = 1 ∴ Assignment of probability is valid Ex16.3, 1 (c) Sum of probability = ω1 + ω2 + ω3 + ω4 + ω5 + ω6 + ω7 = 0.1 + 0.2 + 0.3 + 0.4 + 0.5 + 0.6 + 0.7 = 2.8 Sum of probability is greater than 1 ∴ This assignment of probability is not valid Ex16.3, 1 (d) Probability of any event cannot be negative ∴ Assignment of probability is not valid Ex16.3, 1 (e) Probability 15﷮14﷯ is greater than 1 But, Probability cannot be greater than 1 ∴ Assignment of probability is not valid

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 has been teaching from the past 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.
Jail