What is the probability that a randomly selected integer in the set { 1, 2, 3 ... 100 } is divisible by 2 and not divisible by 3? Express your answer as a common fraction.
50 integers in this range are divisible by 2
16 of these are also divisible by 3
So....the probability that any integer selected is divsible by 2, but not by 3 is
[ 50 - 16 ] / 100 =
34 / 100 =
17 / 50