It is a good practice to solve this inequality first:
\(5\cdot n + 3 \leq 14\)
\(5\cdot n \leq 11\)
\(n \leq \frac{11}{5}\)
\(\frac{11}{5} = 2.2\)
So we want to check, what is the probability, that this number is less than or equal to 2.2
Among 10 integers we have only 2 numbers that are less or equal to 2.2, namely 1 and 2. Therefore, the probability is:
\(\frac{2}{10}=\frac{1}{5}\)
