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