Misc 3 - A die has two faces each with number '1', three - Miscellaneous

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  1. Chapter 16 Class 11 Probability
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Misc 3 A die has two faces each with number 1 , three faces each with number 2 and one face with number 3 . If die is rolled once, determine P(2) A normal die has 6 faces 1, 2, 3, 4, 5, 6 But in this question die has following 6 faces 1, 1, 2, 2, 2, 3 n(S) = 6 We need to find P(2) There are 3 three 2 s Hence, n(2) = 3 So, P(2) = 2 ( ) = 3 6 = Misc 3 A die has two faces each with number 1 , three faces each with number 2 and one face with number 3 . If die is rolled once, determine (ii) P(1 or 3) Die has faces 1, 1, 2, 2, 2, 3 Now ,P (1 or 3) = P (1) + P(3) Hence, P (1 or 3) = P (1) + P(3) = 2 6 + 1 6 = 2 + 1 6 = 3 6 = Misc 3 A die has two faces each with number 1 , three faces each with number 2 and one face with number 3 . If die is rolled once, determine (iii) P(not 3) P(not 3) = 1 P(3) For P(3) There is only one 3 s Hence , n(3) = 1 P(3) = (3) ( ) = 1 6 Hence, P(not 3) = 1 P(3) = 1 1 6 = 6 1 6 =

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.