# Ex 16.3, 10 - Chapter 16 Class 11 Probability

Last updated at Dec. 8, 2016 by Teachoo

Last updated at Dec. 8, 2016 by Teachoo

Transcript

Ex 16.3, 10 A letter is chosen at random from the word ‘ASSASSINATION’. Find the probability that letter is (i) a vowel Letter in the word ASSASSINATION Number of total letters in the given word = 13 n(S) = 13 Let A be the event getting vowels So, A = {A, A, A, I, I, O} n(A) = 6 Probability of getting vowels = P(A) = 𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑣𝑜𝑤𝑒𝑙𝑠 𝑖𝑛 𝑤𝑜𝑟𝑑𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑙𝑒𝑡𝑡𝑒𝑟𝑠 𝑖𝑛 𝑤𝑜𝑟𝑑 = n(A)n(S) = 𝟔𝟏𝟑 Ex16.3, 10 (Method 1) A letter is chosen at random from the word ‘ASSASSINATION’. Find the probability that letter is (ii) a consonant Let B be the event of getting a consonant B = {S, S, S, S, N, T, N} n(B) = 7 Probability of getting a consonant = P(B) = 𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑐𝑜𝑛𝑠𝑜𝑛𝑎𝑛𝑡𝑠 𝑖𝑛 𝑤𝑜𝑟𝑑𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑙𝑒𝑡𝑡𝑒𝑟𝑠 𝑖𝑛 𝑤𝑜𝑟𝑑 = 𝑛(𝐵)𝑛(𝑆) = 𝟕𝟏𝟑 Ex 16.3, 10 (Method 2) A letter is chosen at random from the word ‘ASSASSINATION’. Find the probability that letter is (ii) a consonant P(getting a consonant) = P(not getting vowels) = 1 – P(getting vowels) = 1 – 613 = 13 − 613 = 𝟕𝟏𝟑

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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.