Questions $1$: $10$ Mark

A computer consulting firm presently has bids out on three projects. Let $A_1=\{$awarded project $($:$i\},$ for $i=1,2,3,$ and suppose that $P(A_1)=0\mathrm{.}22,P(A_2)=0\mathrm{.}25,P(A_3)=0\mathrm{.}28,P(A_1{A}_2)=0\mathrm{.}11,P(A_1{A}_3)=0\mathrm{.}05,P(A_2{A}_1)=0\mathrm{.}07,P(A_1{A}_2{A}_3)=0\mathrm{.}01.$ Express in words each of the following events, and compute the probability of each event:

a$.A_1^{\text{'}}{A}_2^{\text{'}}$

b$.A_1{A}_2{A}_3$

c$.A_1^{\text{'}}{A}_2^{\text{'}}{A}_3^{\text{'}}$

d$.A_1^{\text{'}}{A}_2^{\text{'}}{A}_3$

e$.(A_1^{\text{'}}{A}_2^{\text{'}})A_3$