Rework problem $8$ from section $3\mathrm{.}1$ of your text, involving events E$,$ F$,$ and G in a sample space S$.$ Assume that

Pr$($E$)=0\mathrm{.}5,$ Pr $($F$]=0\mathrm{.}6,$ Pr$|$G$]=0\mathrm{.}45,$ Pr$($En F$]=0\mathrm{.}3,$ Pr$[$En G$)=0\mathrm{.}15,$ Pr$[$Fn G$]=0\mathrm{.}3,$ and PrEn F nG$)=0\mathrm{.}1$ Find the following probabilities:

$(1)$ Pr$[$E$\text{'}$n F$\text{'}$nG$)=$

$(2)$ Pr$[$EUFUG$]=$