Concept:Use the addition rule of probability for mutually exclusive events.Explanation:Total balls = 12.Multiples of 5 from 1 to 12: 5,10 (2 numbers).Multiples of 6 from 1 to 12: 6,12 (2 numbers).No number is a multiple of both 5 and 6 in this range, so events are mutually exclusive.Favorable outcomes = 2+2=4.Probability = 124​=31​.Answer:31​