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A box contains 90 discs which are number from 1 to 90 . If one disc is drawn at random form the box, find the probility that it bears: (i) a two-digits number (ii) a perfect square number (iii) a numbre divisible by 5. Select the correct answer from above options

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Total number of disc in a box , n(s) = 90 (i) Let E1= Evernt of selecting a two-digits number = {10,11,......90} n(E1)=81 Probability of geting a two-digit number = n(E1) n(E2) = 81 90 = 9 10 (ii) Let E2 = Event of selecting a number divisibel by 5 ={5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90} ∴ n(E3)=18 ∴ Required probability = n(E3) n(S) = 2 6 = 1 3

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