A number is selected at random from the numbers 1 to 30. What is the probability that the selected number is a prime number?

Let E be the event of selecting a prime number

Total numbers of elementary events are 30

Favourable numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Number of favourable outcome = 10

P (E) = 10/30 =1/3