Question

What is the probability that a number selected from numbers $1,2,3,...,30$, is a prime number, when each of the given numbers is equally likely to be selected?

• A. $\frac{1}{2}$
• B. $\frac{1}{4}$
• C. $\frac{3}{2}$
• D. $\frac{1}{3}$

Answer 1

The correct option is D $\frac{1}{3}$

Total numbers: $30$

Total prime numbers: $10\to \{2,3,5,7,11,13,17,19,23,29\}$

Required Probability:

$P=\frac{10}{30}=\frac{1}{3}$