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

Ex 13.3, 9 - Chapter 13 Class 12 Probability - Part 2
Ex 13.3, 9 - Chapter 13 Class 12 Probability - Part 3

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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

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.