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Example 23 - A bag contains 2 white, 1 red balls. Ball is drawn - Examples


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Example 23 A bag contains 2 white and 1 red balls. One ball is drawn at random and then put back in the box after noting its colour. The process is repeated again. If X denotes the number of red balls recorded in the two draws, describe X. Let 2 white ball be denoted by w1, w2 & red ball by r We draw two balls, one after the other Sample space = S = {(w1, w1), (w2, w2), (w1, w2), (w2, w1), (r, w1), (w1, r), (r, w2), (w2, r), (r, r)} Let X : Number of red balls in two draws We can see there are 0 red, 1 red and 2 red balls So, X = 0 or X = 1 or X = 2

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Davneet Singh

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.