Check sibling questions

Ex 16.3, 10 - A letter is chosen at random from ASSASSINATION - Ex 16.3

Ex 16.3, 10 - Chapter 16 Class 11 Probability - Part 2
Ex 16.3, 10 - Chapter 16 Class 11 Probability - Part 3


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 𝑤𝑜𝑟𝑑﷮𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑙𝑒𝑡𝑡𝑒𝑟𝑠 𝑖𝑛 𝑤𝑜𝑟𝑑﷯ = n(A)﷮n(S)﷯ = 𝟔﷮𝟏𝟑﷯ 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 𝑤𝑜𝑟𝑑﷮𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑙𝑒𝑡𝑡𝑒𝑟𝑠 𝑖𝑛 𝑤𝑜𝑟𝑑﷯ = 𝑛(𝐵)﷮𝑛(𝑆)﷯ = 𝟕﷮𝟏𝟑﷯ 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 – 6﷮13﷯ = 13 − 6﷮13﷯ = 𝟕﷮𝟏𝟑﷯

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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.