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?
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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
An integer k ∈ {1,2,…,999,1000} is selected at random. What is the
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?
Expert Solution
Step 1
It is given that is an integer selected at random from the set of numbers .
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.
Step by step
Solved in 4 steps
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