Question

if a number is chosen randomly from the set of numbers {1, 2, 3, 4, ..., 17}, find the probability of getting a prime number.
the probability of getting a prime number is (square).
(simplify your answer.)

Explanation:

Step1: Count total numbers

The set is $\{1, 2, 3,\cdots, 17\}$, so the total number of elements $n = 17$.

Step2: Identify prime numbers

Prime numbers in the set are $2,3,5,7,11,13,17$. The number of prime - numbers $m=7$.

Step3: Calculate probability

The probability $P$ of getting a prime number is given by the formula $P=\frac{m}{n}$. Substituting $m = 7$ and $n = 17$, we get $P=\frac{7}{17}$.

Answer:

$\frac{7}{17}$