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$\textbf{Independent vs Disjoint}$\\  can two events be independent and disjoint?\\  Remember independence means that the outcome of an event doesnt influence the outcome of another event. Disjoint means no outcomes in common like not being able to have heads or tails. If we know that the outcome of a coin toss was head, we know its not tails. So whether or not the outcome is tails it $\textbf{depends}$ on whether or not the outcomes was heads. so that would be called disjoint and dependent.\\  \begin{Itemize} \begin{itemize}  \item disjoint events cannot be independent  \item since we know that disjoints have no outcomes in common, then we know if one occured, the other didnt.  \end{itemize}  \\  \begin{itemize}  \item just because two events can occur at the same time doesnt mean they need to be dependent.  \item two students can get an A in a class but they may not have studied together etc  \item if you did study together and both got As then your grade could be dependent  \end{itemize}