The Butler$-$Perkins Company $($BPC$)$ must decide between two mutually exclusive projects. Each costs $$6,750$ and has an expected life of $3$ years. Annual project cash flows begin $1$ year after the initial investment and are subject to the following probability distributions:

$\backslash$table$[[$Project A$,$Project B$],[$Probability$,$Cash Flows,Probability,Cash Flows$],[0\mathrm{.}2,$$$6,250,0\mathrm{.}2,$$$0$