Probability vs Confidence

My notes on confidence give this question:

An investigator is interested in the amount of time internet users spend watching TV a week. He assumes $\sigma =3.5$ hours and samples $n=50$ users and takes the sample mean to estimate the population mean $\mu$.

Since $n=50$ is large we know that $\frac{\stackrel{\u2015}{X}-\mu}{\frac{\sigma}{\sqrt{n}}}$ approximates the Standard Normal. So, with probability $\alpha =0.99$, the maximum error of estimate is $E={z}_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n}}\approx 1.27$ hours.

The investigator collects that data and obtain $\stackrel{\u2015}{X}=11.5$ hours. Can he still assert with 99% probability that the error is at most 1.27 hours?

With the answer that:

No he cannot, because the probability describes the method/estimator, not the result. We say that "we conclude with 99% confidence that the error does not exceed 1.27 hours."

I am confused. What is this difference between probability and confidence? Is it related to confidence intervals? Is there an intuitive explanation for the difference?