What is the probability that a randomly selected integer in the set { 1, 2, 3 ... 100 } is divisible by 2 and not divisible by 7? Express your answer as a common fraction.
(2, 4, 6, 8, 10, 12, 16, 18, 20, 22, 24, 26, 30, 32, 34, 36, 38, 40, 44, 46, 48, 50, 52, 54, 58, 60, 62, 64, 66, 68, 72, 74, 76, 78, 80, 82, 86, 88, 90, 92, 94, 96, 100) >>Total = 43 such numbers
Probability = 43 / 100