To solve this problem, we need to make use of the binomial probability formula. The problem asks for the probability that exactly $k$ visitors are looking for the website out of $n$ total visitors, given that the probability $p$ of any individual visitor being there for the right reason is known.

Binomial Probability Formula

The probability of exactly $k$ successes (in this case, visitors looking for the website) in $n$ trials (visitors) is given by the binomial probability formula:

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

Where:

• $P(X = k)$ is the probability of getting exactly $k$ successes.
• $\binom{n}{k}$ is the binomial coefficient, which represents the number of ways to choose $k$ successes out of $n$ trials. It is calculated as $\binom{n}{k} = \frac{n!}{k!(n-k)!}$.
• $p$ is the probability of success on any given trial.
• $(1-p)$ is the probability of failure on any given trial.

Steps to Solve:

1. Identify the given values:

   • $n$ = total number of visitors (this should be provided in the problem).
   • $k$ = number of visitors actually looking for the website (this should be provided in the problem).
   • $p$ = probability that a visitor is looking for the website.

2. Substitute the given values into the formula.

3. Calculate the result.

Assumptions:

• It seems like some specific numbers for $n$, $k$, and $p$ are missing from the problem statement you provided. Please provide those values so I can calculate the probability for you.

Could you provide those numbers so I can complete the solution?