# Misc 6 - Chapter 13 Class 12 Probability

Last updated at Feb. 15, 2020 by Teachoo

Last updated at Feb. 15, 2020 by Teachoo

Transcript

Misc 6 In a hurdle race, a player has to cross 10 hurdles. The probability that he will clear each hurdle is 5/6 . What is the probability that he will knock down fewer than 2 hurdles?Let X : be the number of hurdles that player knocks down Crossing a hurdle is a Bernoulli trial So, X has binomial distribution P(X = x) = nCx ๐^(๐โ๐) ๐^๐ Here, n = number of hurdles = 10 Given, Probability that he will clear hurdle = 5/6 So, q = 5/6 Thus, p = 1 โ q = 1 โ 5/6 = 1/6 Hence, P(X = x) = 10Cx (๐/๐)^๐ (๐/๐)^(๐๐ โ ๐) We need to find Probability that he will knock down fewer than 2 hurdles P(he will knock down fewer than 2 hurdles) = P(knock 0 hurdles) + P(knock 1 hurdles) = P(X = 0) + P(X = 1) = 10C0(1/6)^0 (5/6)^(10 โ0) + 10C1(1/6)^1 (5/6)^(10 โ 1) = 1 ร 1 ร (5/6)^10 + 10 ร 1/6 ร (5/6)^9 = (5/6)^10+10/6 (5/6)^9 = 5/6 (5/6)^9+10/6 (5/6)^9 = 5/6 (5/6)^9+10/6 (5/6)^9 = (5/6+10/6) (5/6)^9 = 15/6 (5/6)^9 = 5/2 (5/6)^9 = ๐^๐๐/(๐ ร ๐^๐ )

Miscellaneous

Misc 1

Misc 2 Important

Misc 3

Misc 4 Deleted for CBSE Board 2021 Exams only

Misc 5 Important Deleted for CBSE Board 2021 Exams only

Misc 6 Important Deleted for CBSE Board 2021 Exams only You are here

Misc 7 Important

Misc 8 Important

Misc 9 Important Deleted for CBSE Board 2021 Exams only

Misc 10 Important

Misc 11 Important

Misc 12

Misc 13 Important

Misc 14 Important

Misc 15 Important

Misc 16 Important

Misc 17 Important

Misc 18

Misc 19

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.