Example 17 - In a relay race there are five teams A, B, C, D, E - Using permutation

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Slide65.JPG

  1. Chapter 16 Class 11 Probability
  2. Serial order wise

Transcript

Example 17 In a relay race there are five teams A, B, C, D and E. (a) What is the probability that A, B and C finish first, second and third, respectively. 3 teams will win from 5 teams Hence Total number of orders = 5P3 = 5! 5 3 ! = 5! 2! = 5 4 3 2! 2! = 60 So, n(S) = 60 Let L be the event that A, B and C finish first second and third respectively Hence , L = {ABC} L = {ABC} So, n(L) = 1 So, P(L) = ( ) ( ) = Example 17 In a relay race there are five teams A, B, C, D and E. (b) What is the probability that A, B and C are first three to finish (in any order) (Assume that all finishing orders are equally likely) Let M be the event that A, B and C are first three in any order M = {ABC, ACB, BAC, BCA, CAB, CBA} Hence n (M) = 6 P(M) = ( ) ( ) = 6 60 =

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