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# A Number is Selected at Random from the Numbers 1 to 30. the Probability that It is a Prime Number is - Mathematics

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#### Question

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

(A) 2/3

(B) 1/6

(C) 1/3

(D) 11/30

#### Solution

Total number of possible outcomes = 30

Prime numbers between 1 to 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.

Total number of favourable outcomes = 10

∴ Probability of selecting a prime number from 1 to 30

=

Hence, the correct option is C.

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