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

Total numbers of elementary events are: 30

Let E be the event of selecting a prime number


Favorable outcomes are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29


Numbers of favorable outcomes are: 10


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

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