Suppose a $6-$sided die is weighted to create the following probability distribution. Determine $P(3).$

$\backslash$table$[[$Outcome$,1,2,3,4,5,6],[$Probability$,0\mathrm{.}11,0\mathrm{.}21,,0\mathrm{.}09,0\mathrm{.}02,0\mathrm{.}23]]$

Let $E$ be the event of rolling a multiple of $3.$ Determine $P(E)$ and $P(E^C).$

$P(E)=$

$P(E^C)=$

Let $F$ be the event of rolling a prime number. Determine $P(F)$ and $P(F{E}^C).$

$P(F)=$

$P(F{E}^C)=$