1.

Out of first two hundred intgers, one digit is randomly chosen.Find the probability that it will divide by 6, 8, or 24.

Answer»

Total no. of integers = 100

∴ n (S) = 100

Favourable cases = (Divisible by 6) + (Divisible by 8) – (Deivisible by 24) 

= {6, 12, 18, …, 198} + {8, 16, 24, …,200} – {24, 48, …, 192}

by formula l = a(n – 1 )d

= 33 + 25 – 8 = 50

∴ Required Prob. = 50/200 = 1/4



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