Mathematics 2011 JAMB Past Questions - Question 49: Find the probability that a number picked at random from the set {43,44,45.....60} is a prime number .

Correct Answer

C

Explanation

Prime numbers = {43,47,53,59} N = {43,44,45,.....60}the universal set contains 18 numbers.the prime numbers between 43 and 60 are 4.probability of picking a prime number = 4/18 = 2/9To find the probability that a number picked at random from the set {43, 44, 45, ..., 60} is a prime number, we need to determine the number of prime numbers in the set and divide it by the total number of elements in the set.The prime numbers in the given set are: 43, 47, 53, 59.The total number of elements in the set is 60 - 43 + 1 = 18.Therefore, the probability of picking a prime number at random from the set is 4/18, which simplifies to 2/9.