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Example 15 - A person has undertaken construction job. Probabilities

Example 15 - Chapter 13 Class 12 Probability - Part 2
Example 15 - Chapter 13 Class 12 Probability - Part 3

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Example 15 A person has undertaken a construction job. The probabilities are 0.65 that there will be strike, 0.80 that the construction job will be completed on time if there is no strike, & 0.32 that the construction job will be completed on time if there is a strike. Determine the probability that the construction job will be completed on time Now, Probability that the construction job is completed on time = Probability that there will be a strike × Probability that the job is completed on time + Probability that there will not be a strike × Probability that the job is completed on time Now, Probability that there will not be a strike = 1 – Probability of strike = 1 – 0.65 = 0.35 Therefore, Probability that the construction job is completed on time = Probability that there will be a strike × Probability that the job is completed on time + Probability that there will not be a strike × Probability that the job is completed on time = 0.65 × 0.32 + 0.35 × 0.80 = 0.208 + 0.28 = 0.488 Thus, required probability is 0.488

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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.