To find probabilities using the binomial distribution, we can follow some easy steps.

1. Identify the Basics: First, we need to know two things: the total number of trials (let's call it $n$) and the chance of success in each trial (we'll call this $p$).

2. Use the Binomial Formula: We then use a special formula to find our probabilities:

   $P(X = k) = \binom{n}{k} p^k (1-p)^{n-k}$

   Here, $k$ stands for the number of successes we want.

3. Do the Math: Next, we take our values for $n$, $p$, and $k$ and put them into the formula. The part $\binom{n}{k}$ helps us figure out how many different ways we can get $k$ successes from $n$ trials.

And that's all there is to it! By following these steps, we can find the probability of getting exactly $k$ successes in $n$ trials.