Assume that each of the $n$ trials is independent and that $p$ is the probability of success on a given trial. Use the binomial probability formula to find $P(x)$. \[ n=18, x=3, p=\frac{1}{8} \] $P(x)=\square$ (Round to three decimal places as needed.)

Step 1 ：Given that each of the $n$ trials is independent and that $p$ is the probability of success on a given trial, we can use the binomial probability formula to find $P(x)$.

Step 2 ：We are given that $n=18$, $x=3$, and $p=\frac{1}{8}$.

Step 3 ：The binomial probability formula is given by: \[P(x) = C(n, x) * (p^x) * ((1-p)^(n-x))\] where $C(n, x)$ is the number of combinations of $n$ items taken $x$ at a time, $p$ is the probability of success on a given trial, $x$ is the number of successes we are interested in, and $n$ is the total number of trials.

Step 4 ：Substituting the given values into the formula, we get: \[P(x) = C(18, 3) * (0.125^3) * ((1-0.125)^(18-3))\]

Step 5 ：Calculating the above expression, we find that $P(x)$ is approximately 0.215.

Step 6 ：Thus, the probability $P(x)$ is approximately \(\boxed{0.215}\).