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  4. The probability that number selected at random from the number 1, 2, 3, 4, 5, 6, 7, 8, ..., 100 is a prime, is

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Q. The probability that number selected at random from the number $1, 2, 3, 4, 5, 6, 7, 8, ..., 100$ is a prime, is

J & K CETJ & K CET 2008Probability

Solution:

Let E = event of getting prime numbers from 1 to 100 $ =\{2,3,5,7,11,13,17,19,23,29,31,37,41,43,47, 49, 53,59,61,71,73,79,83,89,97\} $
$ \therefore $ $ |\,\,\,\,\,\,\,\,n(E)=25 $
$ \therefore $ Required probability $ =\frac{25}{100}=0.25 $