For statements like the one below, I need a large left bracket to precede the array. \Biggr\{ is not big enough. Ideally I could use \left\{ and make the right bracket white, but there doesn't seem to be any way to do that.
\( P(Y = y) = \Biggr\{
\begin{array}{l l}
0.064& \mbox{ for }y = -3 \\
0.360 & \mbox{ for }y = 0 \\
0.360 & \mbox{ for } y=3 \\
0.216 & \mbox{ for } y=6 \\
0 & \mbox{ otherwise.}
\end{array} \)
\begin{cases}is what you need. – Sigur Aug 31 '19 at 15:36casesenvironment provided byamsmath– Zarko Aug 31 '19 at 15:36casesenvironment? – Bernard Aug 31 '19 at 15:36left\{and\right., but (as others have suggested) it's best to usecasesand related environments (dcasesetc.) for piecewise definitions. – Ian Thompson Aug 31 '19 at 15:39