MCQ
A number is selected at random from the numbers $1$ to $30$. The probability that it is a prime number is :
  • A
    $\frac{2}{3}$
  • B
    $\frac{1}{6}$
  • $\frac{1}{3}$
  • D
    $\frac{11}{30}$

Answer

Correct option: C.
$\frac{1}{3}$
Prime numbers between $1$ and $30$ are $\{2, 3, 5, 7, 11, 13, 17, 19, 23\},$ and $29.$
Total number of prime number $= 10$
The probability that the number chosen from $1$ to $30$ is a prime number $=\frac{10}{30}=\frac{1}{3}$

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