Quantitative Aptitude :: Probability - Discussion

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Explanation:
Numbers which dont have 2 from 1 to 9 = 8 Numbers which dont have 2 from 10 to 99:

Let us take two places _ _. Now left most place is fixed in 8 ways. Units place is filled with 9 ways. Total 72 numbres.

Numbers which dont have 2 from 100 to 999 =_ _ _ = 8 * 9 * 9 = 648 Numbers which dont have 2 from 1000 to 1099 =10_ _ = 9 * 9 = 81 Finally 1100 does not have 2. So 1.

Total number with no 2 in them = 8 + 72 + 648 + 81 + 1= 810 Tickets with 2 in them = 1100 - 810 = 290

Required probability = 290 / 1100