Two numbers are chosen at random, without replacement, from the set 1, 2, 3, 4, 5, 6 and used to form a fraction that is less than one. What is the probability that the fraction cannot be reduced? Express your answer as a fraction in lowest terms.
1 / 2 1 / 3 1 / 4 1 / 5 1 / 6
2 / 3 2 / 4 - Reducible 2 / 5 2 / 6 - Reducible
3 / 4 3 / 5 3 / 6 - Reducible
4 / 5 4 / 6 - Reducible
5 / 6 Total =15 - 4 Reducibles =11 / 15 - The probability that the fraction cannot be reduced.
