Assume the probability of success in the Bernoulli trial is $p$ with $0\leq p \leq 1$, let $S_n$ be the number of success in $n$ trials, determine whether $S_n/n$ converges.
So I know how to determine whether a random sequence, but I do not fully understand the model in this problem. $S_n$ could be from $1-n$. Is $S_n$ the summation of $X_1$ to $X_n$ , where $X_i$ represents the $i$th success in $n$ trial. Could anyone explain the random sequence of this problem? Thanks in advance!