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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


Transcript

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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.