Ex 13.3, 9 - Two groups are competing for position on Board - Ex 13.3

Slide25.JPG
Slide26.JPG

  1. Chapter 13 Class 12 Probability
  2. Serial order wise

Transcript

Ex 13.3, 9 Two groups are competing for the position on the Board of directors of a corporation. The probabilities that the first and the second groups will win are 0.6 and 0.4 respectively. Further, if the first group wins, the probability of introducing a new product is 0.7 and the corresponding probability is 0.3 if the second group wins. Find the probability that the new product introduced was by the second group. Let E : first group wins F : second group wins G : new product is introduced We need to find the Probability that the new product introduced was by the second group i.e. P(F|G) So, P(F|G) = . ( | ) . | + . ( | ) Putting values in formula, P(F|G) = 0. 4 0. 3 0. 6 0. 7 +0. 4 0. 3 = 0. 12 0. 42 + 0. 12 = 0. 12 0. 54 = Therefore, required probability is

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 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.