Question 1183599
(i)  {{{0.2^4 = 1/625 = highlight(0.0016)}}}


(ii) {{{0.8^4 = 256/526 = highlight(0.4096)}}}


(iii)  P(caught at 3rd attempt|caught at 2nd attempt) = P(caught at 3rd attempt AND caught at 2nd attempt)/P(caught at 2nd attempt) = {{{(0.2^3 + 0.8*0.2^2)/(0.2^3 + 2*0.2^2*0.8 + 0.2*0.8^2) = highlight(1/5)}}}