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you win $7gThe face ari both headso you win $69{:[" you loss p "3" ( "-3" win) "],[=>quad E(x)=" ? "],[y=$7" when TT "],[=$6" when "HH],[=$-3" when THOHT "]:}when Two coins are Tossed.Then sample space, ={HH,TT,HT,TH}Probability of HH=(1)/(6){:[",, s, TT "=(1)/(6)],[" Prob. \& TH, HT "f=(2)/(6)=(1)/(3)],[E(v)=(1)/(3)xx7+(1)/(3)xx6^((2)/(6))+(1)/(3)xx(3)],[=(7)/(3)+2-1],[{:[V(y)=E(V^(2))-(E(x))^(2),3],[,=[(1)/(3)xx(7)^(2)+( ... See the full answer