Suppose you visit with a financial adviser, and you are considering investing some of your wealth in one of three investment portfolios: stocks, bonds, or commodities. Your financial adviser provides you with the following table, which gives the probabilities of possible returns from each investment:

a$.$ Which investment should you choose to maximize your expected return: stocks, bonds, or commodities?

b$.$ If you are risk$-$ averse and had to choose between the stock or the bond investments, which would you choose? Why?

$\backslash$table$[[$Stocks$,,$Bonds,Commodities,$],[$Probability$,$Return,Probability,Return,Probability,Return$],[0\mathrm{.}25,12\%,0\mathrm{.}6,10\%,0\mathrm{.}20,20\%$