Table of Contents
- 1 What is the probability that a positive integer not exceeding 100 selected at random is divisible by 5 or 7?
- 2 What is the probability that the integer is divisible by both 3 and 5?
- 3 What is the probability that a randomly selected integer chosen from the first 500 positive integers is divisible by three?
- 4 How many positive integers less than 2001 are multiples of 3 or 4 but not 5?
- 5 What is the probability of getting a multiple of 7 in numbers between 1 to 500?
- 6 What is the probability that a number selected at random from a set of the first 50 positive integers is divisible by 4?
- 7 How many positive integers not exceeding 100 and are divisible by 3 but not 5?
What is the probability that a positive integer not exceeding 100 selected at random is divisible by 5 or 7?
What is the probability that a positive integer not exceeding 100 selected at random is divisible by 5 or 7? There are: ⌊100/5⌋ = 20 positive integers divisible by 5. ⌊100/7⌋ = 14 positive integers divisible by 7.
What is the probability that the integer is divisible by both 3 and 5?
What is the probability that the integer is divisible by both 3 and 5? An integer divisible by both 3 and 5 necessarily means that the integer is divisible by 3*5 = 15.
What is the probability that a randomly selected integer chosen from the first 500 positive integers is divisible by three?
Therefore, in 500 numbers there would be 33*5 = 165. Hence, the probability that the chosen number is divisible by 3 or 9 is 165/500 which equals 0.33. Hence, the answer is 0.33.
What is the probability of randomly selecting an integer divisible by 5?
1/5
By Theorem 9.1. 1 the total number of integers from 100 through 999 is 999 – 100 + 1 = 900. By part (a), 180 of these are divisible by 5. Hence the probability that a randomly chosen three-digit integer is divisible by 5 is 180/900 = 1/5.
What is the probability that a positive integer not exceeding 100 selected at random is divisible by?
100 7 = 14.2857 … \dfrac{100}{7}=14.2857\dots 7100=14.2857… , then there are 14 occurrences of a positive integer not exceeding 100 that is divisible by 7.
How many positive integers less than 2001 are multiples of 3 or 4 but not 5?
How many positive integers not exceeding 2001 are multiples of 3 or 4 but not 5? Solution : Number of multiples of 3 till 2001=`[2001/3]=667`..
What is the probability of getting a multiple of 7 in numbers between 1 to 500?
Step-by-step explanation: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98,. = 7/50. so the probability is 7/50.
What is the probability that a number selected at random from a set of the first 50 positive integers is divisible by 4?
So 4/50 = 2/25 = 8\% is the probability of a uniformly chosen random number in that range being a multiple of both 3 and 4.
How many positive integers not exceeding 100 that are not divisible by 5?
So, there are exactly 68 numbers not exceeding 100 that are not divisible by 5 or by 7. 5) There are 345 students at a college who have taken a course in calculus, 210 who have taken a course in discrete mathematics and 170 who have taken courses in both subjects.
What is the probability that a randomly chosen three digit integer is divisible by 5?
Probability as requested = 1/5 = 0.2 = 20\%.
How many positive integers not exceeding 100 and are divisible by 3 but not 5?
Hence,42 is the answer.
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