An integer k ∈ {1,2,…,999,1000} is selected at random. What is the probability that: 1) k is divisible by 3? 2) k is divisible by 5 but not by 3? 3) k is a prime number or a composite number with a prime factor p ≤ 29?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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An integer k ∈ {1,2,…,999,1000} is selected at random. What is the probability that:

1) k is divisible by 3?
2) k is divisible by 5 but not by 3?
3) k is a prime number or a composite number with a prime factor p ≤ 29?

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It is given that k is an integer selected at random from the set of numbers 1, 2 ,, 999, 1000.

A prime number is a number that is divisible by 1 and itself only.

A composite number is a number that has more than 2 factors.

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