The probability that a randomly chosen number from one to twelve is a divisor of twelve is

Step-by-step solution

The set of numbers from one to twelve is S = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 . The total number of elements is n(S) = 12 . The divisors of twelve are the numbers that divide twelve without leaving a remainder. These are 1, 2, 3, 4, 6, and 12 . The set of divisors is D = 1, 2, 3, 4, 6, 12 . The number of divisors is n(D) = 6 . The probability P of choosing a divisor of twelve is given by the ratio of the number of favorable outcomes to the total number of outcomes: P = n(D) n(S) = 6 12 = 1 2 Answer: 1 2