Question

The probability of a number chosen randomly from the numbers $1,2,3,...12$ being a prime number is

• A. $\frac{1}{2}$
• B. $\frac{1}{3}$
• C. $\frac{5}{12}$
• D. $\frac{2}{3}$

Answer 1

The correct option is C $\frac{5}{12}$

Among the given numbers i.e. $1,2,3,\cdots ,12$
Prime numbers are $\text{2, 3, 5, 7, 11}$
$\therefore$ Total number of prime numbers $=5$
And there are a total of $12$ numbers between $1\&12$
$\Rightarrow$ Probability of choosing an odd digit
$=\frac{5}{12}$