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\begin{itemize}  \item 1)Fixed number of trials: n  \item 2) The only two outcomes are success and failure  \item 3) The probability of success, p, is the same at each trial \item  4) The trials are independent \end{itemize}  \subsection{Computing binomial Probabilities}  The formula that finds the probabilities for the binomial distribution for probability of success p, fixed number of trials n, and k successes is as follows:  \[{n \choose k}p^k(1-p)^{n-k}\]