Jon P. answered 03/18/15
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Honors math degree (Harvard), extensive Calculus tutoring experience
There are 7 numbers from 1 to 30 that are multiples of 4: 4, 8, 12, 16, 20, 24, 28
So there are 8 ways that a number can be 19 or a multiple of 4.
So the probability of that is 8/30, which is 4/15 in simplest form.