What is the probability that a randomly chosen integer is a divisor of 30?

Let’s denote event A – the probability that a randomly chosen integer is a divisor of 30.
In order to find the probability of an event, it is necessary to find all possible outcomes of a given event and all outcomes that favor this event. Then, according to the classical definition of probability, it is necessary to divide the number of favorable outcomes by the number of all possible outcomes. Then:
the number of all possible outcomes – all numbers from 1 to 30 are 30 outcomes;
the number of favorable outcomes – the numbers by which the number 30 is divided – these are the numbers 1, 2, 3, 5, 6, 10, 15 and 30 – that is, 8 outcomes.
Hence,
P (A) = 8/30 = 4/15.
Answer: 4/15.