Check sibling questions

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

Ex 16.3, 1 - Chapter 16 Class 11 Probability - Part 2
Ex 16.3, 1 - Chapter 16 Class 11 Probability - Part 3
Ex 16.3, 1 - Chapter 16 Class 11 Probability - Part 4
Ex 16.3, 1 - Chapter 16 Class 11 Probability - Part 5

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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

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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.