A consumer$$s utility function is u$($m$)=$ ln$($m$).$ The value of can be $2$ or $16$ with probabilities $0\mathrm{.}1$ and $0\mathrm{.}9,$ respectively. If she makes no effort to reduce risk, the probability of m $=2$ rises to $0\mathrm{.}2.$ The effort cost is e$=1.$