Question: 35. A number is selected randomly from the set {1, 2, . . . , 1000}. What is the probability that (a) it is divisible

35. A number is selected randomly from the set {1, 2, . . . , 1000}. What is the probability that

(a) it is divisible by 3 but not by 5;

(b) it is divisible neither by 3 nor by 5?

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