Problem $2.$ A three$-$sided die, part $10/1$ point $($graded$)$ The newest invention of the $6\mathrm{.}431$x staff is a three$-$sided die. On any roll of this die, the result is $1$ with probability $1/2,2$ with probability $1/4,$ and $3$ with probability $1/4.$ Consider a sequence of six independent rolls of this die. Find the probability that exactly two of the rolls result in a $3.$