Question The table below shows an incomplete probability density function for the number of errors, $X$, found in a machine during a monthly quality control inspection at a textile factory. What should the missing probability be? - Provide the final answer as a fraction. \begin{tabular}{|c|c|} \hline$x$ & $P(X=x)$ \\ \hline 0 & $1 / 2$ \\ \hline 1 & $1 / 3$ \\ \hline 2 & \\ \hline \end{tabular} Provide your answer below:

Step 1 ：The sum of all probabilities in a probability density function must equal 1. Therefore, to find the missing probability, we need to subtract the sum of the given probabilities from 1.

Step 2 ：Given that the probability of 0 errors is \(\frac{1}{2}\) and the probability of 1 error is \(\frac{1}{3}\), we can calculate the missing probability as follows:

Step 3 ：\(1 - \frac{1}{2} - \frac{1}{3} = \frac{1}{6}\)

Step 4 ：Final Answer: The missing probability should be \(\boxed{\frac{1}{6}}\).