Even number =$ 2,4,6$
odd number = $1,3,5$
Product will come even when even one time even number comes
odd product will be if every time odd comes
so, $P(Even) = 1- P(odd)$
$= 1- {^n}C{_n}\times \left(\dfrac{3}{6}\right)^{0}\times \left(\dfrac{3}{6}\right)^{n}$
$= 1- \left(\dfrac{1}{2}\right)^{n}$
So i think option E